- DRMF

General

Display information for equation id:math.63457.67 on revision:63457

* Page found: Results of Incomplete Gamma and Related Functions (eq math.63457.67)

Occurrences on the following pages:

Results of Incomplete Gamma and Related Functions Eq: math.63457.67

Hash: 8763c2a6202ccd677289cf95480d18a6

TeX (original user input):

\incGamma@{a}{z} = \frac{\EulerGamma@{a}}{\EulerGamma@{a-n}}\incGamma@{a-n}{z}+z^{a-1}e^{-z}\sum_{k=0}^{n-1}\frac{\EulerGamma@{a}}{\EulerGamma@{a-k}}z^{-k}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (15.781 KB / 2.16 KB) :

{\displaystyle{\displaystyle\Gamma\left(a,z\right)=\frac{\Gamma\left(a\right)}% {\Gamma\left(a-n\right)}\Gamma\left(a-n,z\right)+z^{a-1}e^{-z}\sum_{k=0}^{n-1}% \frac{\Gamma\left(a\right)}{\Gamma\left(a-k\right)}z^{-k}}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\Gamma\left(a,z\right)=\frac{\Gamma\left(a\right)}%&#10;{\Gamma\left(a-n\right)}\Gamma\left(a-n,z\right)+z^{a-1}e^{-z}\sum_{k=0}^{n-1}%&#10;\frac{\Gamma\left(a\right)}{\Gamma\left(a-k\right)}z^{-k}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">
      <mrow id="p1.1.m1.1.1.9.2" xref="p1.1.m1.1.1.1.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.1.cmml">Γ</mi>
        <mo id="p1.1.m1.1.1.9.2a" xref="p1.1.m1.1.1.1.cmml">⁡</mo>
        <mrow id="p1.1.m1.1.1.9.2.1" xref="p1.1.m1.1.1.1.cmml">
          <mo id="p1.1.m1.1.1.4" xref="p1.1.m1.1.1.1.cmml">(</mo>
          <mi id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">a</mi>
          <mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">,</mo>
          <mi id="p1.1.m1.1.1.7" xref="p1.1.m1.1.1.7.cmml">z</mi>
          <mo id="p1.1.m1.1.1.8" xref="p1.1.m1.1.1.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">
        <mrow id="p1.1.m1.1.16.1.1" xref="p1.1.m1.1.16.1.1.cmml">
          <mstyle displaystyle="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
            <mfrac id="p1.1.m1.1.3a" xref="p1.1.m1.1.3.cmml">
              <mrow id="p1.1.m1.1.3.2.1.7.2" xref="p1.1.m1.1.3.2.1.1.cmml">
                <mi mathvariant="normal" id="p1.1.m1.1.3.2.1.2.1.2" xref="p1.1.m1.1.3.2.1.2.1.1.cmml">Γ</mi>
                <mo id="p1.1.m1.1.3.2.1.7.2a" xref="p1.1.m1.1.3.2.1.1.cmml">⁡</mo>
                <mrow id="p1.1.m1.1.3.2.1.7.2.1" xref="p1.1.m1.1.3.2.1.1.cmml">
                  <mo id="p1.1.m1.1.3.2.1.4" xref="p1.1.m1.1.3.2.1.1.cmml">(</mo>
                  <mi id="p1.1.m1.1.3.2.1.5" xref="p1.1.m1.1.3.2.1.5.cmml">a</mi>
                  <mo id="p1.1.m1.1.3.2.1.6" xref="p1.1.m1.1.3.2.1.1.cmml">)</mo>
                </mrow>
              </mrow>
              <mrow id="p1.1.m1.1.3.3.1.7.2" xref="p1.1.m1.1.3.3.1.1.cmml">
                <mi mathvariant="normal" id="p1.1.m1.1.3.3.1.2.1.2" xref="p1.1.m1.1.3.3.1.2.1.1.cmml">Γ</mi>
                <mo id="p1.1.m1.1.3.3.1.7.2a" xref="p1.1.m1.1.3.3.1.1.cmml">⁡</mo>
                <mrow id="p1.1.m1.1.3.3.1.7.2.1" xref="p1.1.m1.1.3.3.1.1.cmml">
                  <mo id="p1.1.m1.1.3.3.1.4" xref="p1.1.m1.1.3.3.1.1.cmml">(</mo>
                  <mrow id="p1.1.m1.1.3.3.1.5" xref="p1.1.m1.1.3.3.1.5.cmml">
                    <mi id="p1.1.m1.1.3.3.1.5.1" xref="p1.1.m1.1.3.3.1.5.1.cmml">a</mi>
                    <mo id="p1.1.m1.1.3.3.1.5.2" xref="p1.1.m1.1.3.3.1.5.2.cmml">-</mo>
                    <mi id="p1.1.m1.1.3.3.1.5.3" xref="p1.1.m1.1.3.3.1.5.3.cmml">n</mi>
                  </mrow>
                  <mo id="p1.1.m1.1.3.3.1.6" xref="p1.1.m1.1.3.3.1.1.cmml">)</mo>
                </mrow>
              </mrow>
            </mfrac>
          </mstyle>
          <mo id="p1.1.m1.1.16.1.1.1" xref="p1.1.m1.1.16.1.1.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.4.9.2" xref="p1.1.m1.1.4.1.cmml">
            <mi mathvariant="normal" id="p1.1.m1.1.4.2.1.2" xref="p1.1.m1.1.4.2.1.1.cmml">Γ</mi>
            <mo id="p1.1.m1.1.4.9.2a" xref="p1.1.m1.1.4.1.cmml">⁡</mo>
            <mrow id="p1.1.m1.1.4.9.2.1" xref="p1.1.m1.1.4.1.cmml">
              <mo id="p1.1.m1.1.4.4" xref="p1.1.m1.1.4.1.cmml">(</mo>
              <mrow id="p1.1.m1.1.4.5" xref="p1.1.m1.1.4.5.cmml">
                <mi id="p1.1.m1.1.4.5.1" xref="p1.1.m1.1.4.5.1.cmml">a</mi>
                <mo id="p1.1.m1.1.4.5.2" xref="p1.1.m1.1.4.5.2.cmml">-</mo>
                <mi id="p1.1.m1.1.4.5.3" xref="p1.1.m1.1.4.5.3.cmml">n</mi>
              </mrow>
              <mo id="p1.1.m1.1.4.6" xref="p1.1.m1.1.4.1.cmml">,</mo>
              <mi id="p1.1.m1.1.4.7" xref="p1.1.m1.1.4.7.cmml">z</mi>
              <mo id="p1.1.m1.1.4.8" xref="p1.1.m1.1.4.1.cmml">)</mo>
            </mrow>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">+</mo>
        <mrow id="p1.1.m1.1.16.1.2" xref="p1.1.m1.1.16.1.2.cmml">
          <msup id="p1.1.m1.1.16.1.2.2" xref="p1.1.m1.1.16.1.2.2.cmml">
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">z</mi>
            <mrow id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">
              <mi id="p1.1.m1.1.7.1.1" xref="p1.1.m1.1.7.1.1.cmml">a</mi>
              <mo id="p1.1.m1.1.7.1.2" xref="p1.1.m1.1.7.1.2.cmml">-</mo>
              <mn id="p1.1.m1.1.7.1.3" xref="p1.1.m1.1.7.1.3.cmml">1</mn>
            </mrow>
          </msup>
          <mo id="p1.1.m1.1.16.1.2.1" xref="p1.1.m1.1.16.1.2.1.cmml">⁢</mo>
          <msup id="p1.1.m1.1.16.1.2.3" xref="p1.1.m1.1.16.1.2.3.cmml">
            <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">e</mi>
            <mrow id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
              <mo id="p1.1.m1.1.9.1.1" xref="p1.1.m1.1.9.1.1.cmml">-</mo>
              <mi id="p1.1.m1.1.9.1.2" xref="p1.1.m1.1.9.1.2.cmml">z</mi>
            </mrow>
          </msup>
          <mo id="p1.1.m1.1.16.1.2.1a" xref="p1.1.m1.1.16.1.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.16.1.2.4" xref="p1.1.m1.1.16.1.2.4.cmml">
            <mstyle displaystyle="true" id="p1.1.m1.1.16.1.2.4.1" xref="p1.1.m1.1.16.1.2.4.1.cmml">
              <munderover id="p1.1.m1.1.16.1.2.4.1a" xref="p1.1.m1.1.16.1.2.4.1.cmml">
                <mo largeop="true" movablelimits="false" symmetric="true" id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">∑</mo>
                <mrow id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">
                  <mi id="p1.1.m1.1.11.1.1" xref="p1.1.m1.1.11.1.1.cmml">k</mi>
                  <mo id="p1.1.m1.1.11.1.2" xref="p1.1.m1.1.11.1.2.cmml">=</mo>
                  <mn id="p1.1.m1.1.11.1.3" xref="p1.1.m1.1.11.1.3.cmml">0</mn>
                </mrow>
                <mrow id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">
                  <mi id="p1.1.m1.1.12.1.1" xref="p1.1.m1.1.12.1.1.cmml">n</mi>
                  <mo id="p1.1.m1.1.12.1.2" xref="p1.1.m1.1.12.1.2.cmml">-</mo>
                  <mn id="p1.1.m1.1.12.1.3" xref="p1.1.m1.1.12.1.3.cmml">1</mn>
                </mrow>
              </munderover>
            </mstyle>
            <mrow id="p1.1.m1.1.16.1.2.4.2" xref="p1.1.m1.1.16.1.2.4.2.cmml">
              <mstyle displaystyle="true" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">
                <mfrac id="p1.1.m1.1.13a" xref="p1.1.m1.1.13.cmml">
                  <mrow id="p1.1.m1.1.13.2.1.7.2" xref="p1.1.m1.1.13.2.1.1.cmml">
                    <mi mathvariant="normal" id="p1.1.m1.1.13.2.1.2.1.2" xref="p1.1.m1.1.13.2.1.2.1.1.cmml">Γ</mi>
                    <mo id="p1.1.m1.1.13.2.1.7.2a" xref="p1.1.m1.1.13.2.1.1.cmml">⁡</mo>
                    <mrow id="p1.1.m1.1.13.2.1.7.2.1" xref="p1.1.m1.1.13.2.1.1.cmml">
                      <mo id="p1.1.m1.1.13.2.1.4" xref="p1.1.m1.1.13.2.1.1.cmml">(</mo>
                      <mi id="p1.1.m1.1.13.2.1.5" xref="p1.1.m1.1.13.2.1.5.cmml">a</mi>
                      <mo id="p1.1.m1.1.13.2.1.6" xref="p1.1.m1.1.13.2.1.1.cmml">)</mo>
                    </mrow>
                  </mrow>
                  <mrow id="p1.1.m1.1.13.3.1.7.2" xref="p1.1.m1.1.13.3.1.1.cmml">
                    <mi mathvariant="normal" id="p1.1.m1.1.13.3.1.2.1.2" xref="p1.1.m1.1.13.3.1.2.1.1.cmml">Γ</mi>
                    <mo id="p1.1.m1.1.13.3.1.7.2a" xref="p1.1.m1.1.13.3.1.1.cmml">⁡</mo>
                    <mrow id="p1.1.m1.1.13.3.1.7.2.1" xref="p1.1.m1.1.13.3.1.1.cmml">
                      <mo id="p1.1.m1.1.13.3.1.4" xref="p1.1.m1.1.13.3.1.1.cmml">(</mo>
                      <mrow id="p1.1.m1.1.13.3.1.5" xref="p1.1.m1.1.13.3.1.5.cmml">
                        <mi id="p1.1.m1.1.13.3.1.5.1" xref="p1.1.m1.1.13.3.1.5.1.cmml">a</mi>
                        <mo id="p1.1.m1.1.13.3.1.5.2" xref="p1.1.m1.1.13.3.1.5.2.cmml">-</mo>
                        <mi id="p1.1.m1.1.13.3.1.5.3" xref="p1.1.m1.1.13.3.1.5.3.cmml">k</mi>
                      </mrow>
                      <mo id="p1.1.m1.1.13.3.1.6" xref="p1.1.m1.1.13.3.1.1.cmml">)</mo>
                    </mrow>
                  </mrow>
                </mfrac>
              </mstyle>
              <mo id="p1.1.m1.1.16.1.2.4.2.1" xref="p1.1.m1.1.16.1.2.4.2.1.cmml">⁢</mo>
              <msup id="p1.1.m1.1.16.1.2.4.2.2" xref="p1.1.m1.1.16.1.2.4.2.2.cmml">
                <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">z</mi>
                <mrow id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">
                  <mo id="p1.1.m1.1.15.1.1" xref="p1.1.m1.1.15.1.1.cmml">-</mo>
                  <mi id="p1.1.m1.1.15.1.2" xref="p1.1.m1.1.15.1.2.cmml">k</mi>
                </mrow>
              </msup>
            </mrow>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">
        <eq id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
        <apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.9.2">
          <csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2">incomplete-Gamma</csymbol>
          <ci id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">𝑎</ci>
          <ci id="p1.1.m1.1.1.7.cmml" xref="p1.1.m1.1.1.7">𝑧</ci>
        </apply>
        <apply id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">
          <plus id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
          <apply id="p1.1.m1.1.16.1.1.cmml" xref="p1.1.m1.1.16.1.1">
            <times id="p1.1.m1.1.16.1.1.1.cmml" xref="p1.1.m1.1.16.1.1.1"/>
            <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
              <divide id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3"/>
              <apply id="p1.1.m1.1.3.2.1.1.cmml" xref="p1.1.m1.1.3.2.1.7.2">
                <csymbol cd="dlmf" id="p1.1.m1.1.3.2.1.2.1.1.cmml" xref="p1.1.m1.1.3.2.1.2.1.2">Euler-Gamma</csymbol>
                <ci id="p1.1.m1.1.3.2.1.5.cmml" xref="p1.1.m1.1.3.2.1.5">𝑎</ci>
              </apply>
              <apply id="p1.1.m1.1.3.3.1.1.cmml" xref="p1.1.m1.1.3.3.1.7.2">
                <csymbol cd="dlmf" id="p1.1.m1.1.3.3.1.2.1.1.cmml" xref="p1.1.m1.1.3.3.1.2.1.2">Euler-Gamma</csymbol>
                <apply id="p1.1.m1.1.3.3.1.5.cmml" xref="p1.1.m1.1.3.3.1.5">
                  <minus id="p1.1.m1.1.3.3.1.5.2.cmml" xref="p1.1.m1.1.3.3.1.5.2"/>
                  <ci id="p1.1.m1.1.3.3.1.5.1.cmml" xref="p1.1.m1.1.3.3.1.5.1">𝑎</ci>
                  <ci id="p1.1.m1.1.3.3.1.5.3.cmml" xref="p1.1.m1.1.3.3.1.5.3">𝑛</ci>
                </apply>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.9.2">
              <csymbol cd="dlmf" id="p1.1.m1.1.4.2.1.1.cmml" xref="p1.1.m1.1.4.2.1.2">incomplete-Gamma</csymbol>
              <apply id="p1.1.m1.1.4.5.cmml" xref="p1.1.m1.1.4.5">
                <minus id="p1.1.m1.1.4.5.2.cmml" xref="p1.1.m1.1.4.5.2"/>
                <ci id="p1.1.m1.1.4.5.1.cmml" xref="p1.1.m1.1.4.5.1">𝑎</ci>
                <ci id="p1.1.m1.1.4.5.3.cmml" xref="p1.1.m1.1.4.5.3">𝑛</ci>
              </apply>
              <ci id="p1.1.m1.1.4.7.cmml" xref="p1.1.m1.1.4.7">𝑧</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.16.1.2.cmml" xref="p1.1.m1.1.16.1.2">
            <times id="p1.1.m1.1.16.1.2.1.cmml" xref="p1.1.m1.1.16.1.2.1"/>
            <apply id="p1.1.m1.1.16.1.2.2.cmml" xref="p1.1.m1.1.16.1.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.1.2.2.1.cmml" xref="p1.1.m1.1.16.1.2.2">superscript</csymbol>
              <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑧</ci>
              <apply id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">
                <minus id="p1.1.m1.1.7.1.2.cmml" xref="p1.1.m1.1.7.1.2"/>
                <ci id="p1.1.m1.1.7.1.1.cmml" xref="p1.1.m1.1.7.1.1">𝑎</ci>
                <cn type="integer" id="p1.1.m1.1.7.1.3.cmml" xref="p1.1.m1.1.7.1.3">1</cn>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.16.1.2.3.cmml" xref="p1.1.m1.1.16.1.2.3">
              <csymbol cd="ambiguous" id="p1.1.m1.1.16.1.2.3.1.cmml" xref="p1.1.m1.1.16.1.2.3">superscript</csymbol>
              <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑒</ci>
              <apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
                <minus id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1.1"/>
                <ci id="p1.1.m1.1.9.1.2.cmml" xref="p1.1.m1.1.9.1.2">𝑧</ci>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.16.1.2.4.cmml" xref="p1.1.m1.1.16.1.2.4">
              <apply id="p1.1.m1.1.16.1.2.4.1.cmml" xref="p1.1.m1.1.16.1.2.4.1">
                <csymbol cd="ambiguous" id="p1.1.m1.1.16.1.2.4.1.1.cmml" xref="p1.1.m1.1.16.1.2.4.1">superscript</csymbol>
                <apply id="p1.1.m1.1.16.1.2.4.1.2.cmml" xref="p1.1.m1.1.16.1.2.4.1">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.16.1.2.4.1.2.1.cmml" xref="p1.1.m1.1.16.1.2.4.1">subscript</csymbol>
                  <sum id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
                  <apply id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">
                    <eq id="p1.1.m1.1.11.1.2.cmml" xref="p1.1.m1.1.11.1.2"/>
                    <ci id="p1.1.m1.1.11.1.1.cmml" xref="p1.1.m1.1.11.1.1">𝑘</ci>
                    <cn type="integer" id="p1.1.m1.1.11.1.3.cmml" xref="p1.1.m1.1.11.1.3">0</cn>
                  </apply>
                </apply>
                <apply id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">
                  <minus id="p1.1.m1.1.12.1.2.cmml" xref="p1.1.m1.1.12.1.2"/>
                  <ci id="p1.1.m1.1.12.1.1.cmml" xref="p1.1.m1.1.12.1.1">𝑛</ci>
                  <cn type="integer" id="p1.1.m1.1.12.1.3.cmml" xref="p1.1.m1.1.12.1.3">1</cn>
                </apply>
              </apply>
              <apply id="p1.1.m1.1.16.1.2.4.2.cmml" xref="p1.1.m1.1.16.1.2.4.2">
                <times id="p1.1.m1.1.16.1.2.4.2.1.cmml" xref="p1.1.m1.1.16.1.2.4.2.1"/>
                <apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
                  <divide id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13"/>
                  <apply id="p1.1.m1.1.13.2.1.1.cmml" xref="p1.1.m1.1.13.2.1.7.2">
                    <csymbol cd="dlmf" id="p1.1.m1.1.13.2.1.2.1.1.cmml" xref="p1.1.m1.1.13.2.1.2.1.2">Euler-Gamma</csymbol>
                    <ci id="p1.1.m1.1.13.2.1.5.cmml" xref="p1.1.m1.1.13.2.1.5">𝑎</ci>
                  </apply>
                  <apply id="p1.1.m1.1.13.3.1.1.cmml" xref="p1.1.m1.1.13.3.1.7.2">
                    <csymbol cd="dlmf" id="p1.1.m1.1.13.3.1.2.1.1.cmml" xref="p1.1.m1.1.13.3.1.2.1.2">Euler-Gamma</csymbol>
                    <apply id="p1.1.m1.1.13.3.1.5.cmml" xref="p1.1.m1.1.13.3.1.5">
                      <minus id="p1.1.m1.1.13.3.1.5.2.cmml" xref="p1.1.m1.1.13.3.1.5.2"/>
                      <ci id="p1.1.m1.1.13.3.1.5.1.cmml" xref="p1.1.m1.1.13.3.1.5.1">𝑎</ci>
                      <ci id="p1.1.m1.1.13.3.1.5.3.cmml" xref="p1.1.m1.1.13.3.1.5.3">𝑘</ci>
                    </apply>
                  </apply>
                </apply>
                <apply id="p1.1.m1.1.16.1.2.4.2.2.cmml" xref="p1.1.m1.1.16.1.2.4.2.2">
                  <csymbol cd="ambiguous" id="p1.1.m1.1.16.1.2.4.2.2.1.cmml" xref="p1.1.m1.1.16.1.2.4.2.2">superscript</csymbol>
                  <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝑧</ci>
                  <apply id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">
                    <minus id="p1.1.m1.1.15.1.1.cmml" xref="p1.1.m1.1.15.1.1"/>
                    <ci id="p1.1.m1.1.15.1.2.cmml" xref="p1.1.m1.1.15.1.2">𝑘</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\Gamma\left(a,z\right)=\frac{\Gamma\left(a\right)}%
{\Gamma\left(a-n\right)}\Gamma\left(a-n,z\right)+z^{a-1}e^{-z}\sum_{k=0}^{n-1}%
\frac{\Gamma\left(a\right)}{\Gamma\left(a-k\right)}z^{-k}}}</annotation>
  </semantics>
</math>

SVG (16.703 KB / 4.319 KB) :

SVG (MathML can be enabled via browser plugin) rendering

MathML (0 B / 8 B) :

Failed to get svg.

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 112
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0247	1736000	wfIndexMain( )	.../index.php:46
3	0.0247	1736096	MediaWiki->run( )	.../index.php:50
4	0.0247	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0250	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0620	2009440	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1686260503.6452; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63457.67 on revision:63457\n</p><p>* Page found: <a href="/wiki/Results_of_Incomplete_Gamma_and_Related_Functions#math.63457.67" title="Results of Incomplete Gamma and Related Functions">Results of Incomplete Gamma and Related Functions</a> (eq math.63457.67) </p><a href="/index.php?title=Results_of_Incomplete_Gamma_and_Related_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230608214143'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0622	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0622	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0622	2013344	FormulaInfo->DisplayInfo( $oldID = '63457', $eid = 'math.63457.67' )	.../FormulaInfo.php:45
10	0.9141	5206064	FormulaInfo::DisplayTranslations( $tex = '\\incGamma@{a}{z} = \\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-n}}\\incGamma@{a-n}{z}+z^{a-1}e^{-z}\\sum_{k=0}^{n-1}\\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-k}}z^{-k}' )	.../FormulaInfo.php:168
11	0.9323	5253816	FormulaInfo::PrintTranslationResult( $cas = 'Maple', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:90

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 115
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0247	1736000	wfIndexMain( )	.../index.php:46
3	0.0247	1736096	MediaWiki->run( )	.../index.php:50
4	0.0247	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0250	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0620	2009440	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1686260503.6452; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63457.67 on revision:63457\n</p><p>* Page found: <a href="/wiki/Results_of_Incomplete_Gamma_and_Related_Functions#math.63457.67" title="Results of Incomplete Gamma and Related Functions">Results of Incomplete Gamma and Related Functions</a> (eq math.63457.67) </p><a href="/index.php?title=Results_of_Incomplete_Gamma_and_Related_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230608214143'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0622	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0622	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0622	2013344	FormulaInfo->DisplayInfo( $oldID = '63457', $eid = 'math.63457.67' )	.../FormulaInfo.php:45
10	0.9141	5206064	FormulaInfo::DisplayTranslations( $tex = '\\incGamma@{a}{z} = \\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-n}}\\incGamma@{a-n}{z}+z^{a-1}e^{-z}\\sum_{k=0}^{n-1}\\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-k}}z^{-k}' )	.../FormulaInfo.php:168
11	0.9323	5253816	FormulaInfo::PrintTranslationResult( $cas = 'Maple', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:90

( ! ) Deprecated: str_replace(): Passing null to parameter #3 ($subject) of type array\|string is deprecated in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 115
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0247	1736000	wfIndexMain( )	.../index.php:46
3	0.0247	1736096	MediaWiki->run( )	.../index.php:50
4	0.0247	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0250	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0620	2009440	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1686260503.6452; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63457.67 on revision:63457\n</p><p>* Page found: <a href="/wiki/Results_of_Incomplete_Gamma_and_Related_Functions#math.63457.67" title="Results of Incomplete Gamma and Related Functions">Results of Incomplete Gamma and Related Functions</a> (eq math.63457.67) </p><a href="/index.php?title=Results_of_Incomplete_Gamma_and_Related_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230608214143'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0622	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0622	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0622	2013344	FormulaInfo->DisplayInfo( $oldID = '63457', $eid = 'math.63457.67' )	.../FormulaInfo.php:45
10	0.9141	5206064	FormulaInfo::DisplayTranslations( $tex = '\\incGamma@{a}{z} = \\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-n}}\\incGamma@{a-n}{z}+z^{a-1}e^{-z}\\sum_{k=0}^{n-1}\\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-k}}z^{-k}' )	.../FormulaInfo.php:168
11	0.9323	5253816	FormulaInfo::PrintTranslationResult( $cas = 'Maple', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:90
12	0.9418	5273176	str_replace( $search = '\n', $replace = '\n\n', $subject = NULL )	.../FormulaInfo.php:115

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 112
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0247	1736000	wfIndexMain( )	.../index.php:46
3	0.0247	1736096	MediaWiki->run( )	.../index.php:50
4	0.0247	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0250	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0620	2009440	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1686260503.6452; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63457.67 on revision:63457\n</p><p>* Page found: <a href="/wiki/Results_of_Incomplete_Gamma_and_Related_Functions#math.63457.67" title="Results of Incomplete Gamma and Related Functions">Results of Incomplete Gamma and Related Functions</a> (eq math.63457.67) </p><a href="/index.php?title=Results_of_Incomplete_Gamma_and_Related_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230608214143'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0622	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0622	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0622	2013344	FormulaInfo->DisplayInfo( $oldID = '63457', $eid = 'math.63457.67' )	.../FormulaInfo.php:45
10	0.9141	5206064	FormulaInfo::DisplayTranslations( $tex = '\\incGamma@{a}{z} = \\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-n}}\\incGamma@{a-n}{z}+z^{a-1}e^{-z}\\sum_{k=0}^{n-1}\\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-k}}z^{-k}' )	.../FormulaInfo.php:168
11	0.9435	5290520	FormulaInfo::PrintTranslationResult( $cas = 'Mathematica', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:91

( ! ) Warning: Trying to access array offset on value of type null in /var/www/html/extensions/MathSearch/includes/FormulaInfo.php on line 115
Call Stack
#	Time	Memory	Function	Location
1	0.0001	354792	{main}( )	.../index.php:0
2	0.0247	1736000	wfIndexMain( )	.../index.php:46
3	0.0247	1736096	MediaWiki->run( )	.../index.php:50
4	0.0247	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0250	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0620	2009440	MediaWiki\SpecialPage\SpecialPageFactory->executePath( $path = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = NULL; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = TRUE; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = ['mTextform' => [...], 'mUrlform' => [...], 'mDbkeyform' => [...], 'mNamespace' => [...], 'mInterwiki' => [...], 'mFragment' => [...]]; private $dynamicPropertiesAccessDeprecated = FALSE }, $context = class RequestContext { private $request = class WebRequest { protected $data = [...]; protected $queryAndPathParams = [...]; protected $queryParams = [...]; protected $headers = [...]; private $response = class WebResponse { ... }; private $ip = '172.16.5.238'; protected $requestTime = 1686260503.6452; protected $protocol = 'https'; protected $sessionId = class MediaWiki\Session\SessionId { ... }; protected $markedAsSafe = FALSE }; private $title = class Title { private $mTextform = 'FormulaInfo'; private $mUrlform = 'FormulaInfo'; private $mDbkeyform = 'FormulaInfo'; private $mNamespace = -1; private $mInterwiki = ''; private $mLocalInterwiki = FALSE; private $mFragment = ''; public $mArticleID = 0; protected $mLatestID = FALSE; private $mContentModel = FALSE; private $mForcedContentModel = FALSE; private $mEstimateRevisions = NULL; public $prefixedText = 'Special:FormulaInfo'; protected $mLength = -1; public $mRedirect = NULL; private $mHasSubpages = NULL; private $mPageLanguage = NULL; private $mDbPageLanguage = FALSE; private $mTitleValue = NULL; private $mIsBigDeletion = NULL; private $mIsValid = NULL; private $mInstanceCacheKey = NULL; protected $deprecatedPublicProperties = [...]; private $dynamicPropertiesAccessDeprecated = FALSE }; private $wikipage = NULL; private $action = NULL; private $output = class OutputPage { private ${ContextSource}context = ...; protected $mMetatags = [...]; protected $mLinktags = [...]; protected $mCanonicalUrl = FALSE; private $mPageTitle = ''; private $displayTitle = NULL; private $cacheIsFinal = FALSE; public $mBodytext = '<h2><span class="mw-headline" id="General">General</span></h2><p>Display information for equation id:math.63457.67 on revision:63457\n</p><p>* Page found: <a href="/wiki/Results_of_Incomplete_Gamma_and_Related_Functions#math.63457.67" title="Results of Incomplete Gamma and Related Functions">Results of Incomplete Gamma and Related Functions</a> (eq math.63457.67) </p><a href="/index.php?title=Results_of_Incomplete_Gamma_and_Related_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences'...; private $mHTMLtitle = ''; private $mIsArticle = FALSE; private $mIsArticleRelated = TRUE; private $mHasCopyright = FALSE; private $mPrintable = FALSE; private $tocData = class Wikimedia\Parsoid\Core\TOCData { ... }; private $mSubtitle = [...]; public $mRedirect = ''; protected $mStatusCode = NULL; protected $mLastModified = ''; protected $mCategoryLinks = [...]; protected $mCategories = [...]; protected $mIndicators = [...]; private $mLanguageLinks = [...]; private $mScripts = ''; protected $mInlineStyles = ''; public $mPageLinkTitle = ''; protected $mAdditionalHtmlClasses = [...]; protected $mHeadItems = [...]; protected $mAdditionalBodyClasses = [...]; protected $mModules = [...]; protected $mModuleStyles = [...]; protected $mResourceLoader = NULL; private $rlClient = NULL; private $rlClientContext = NULL; private $rlExemptStyleModules = NULL; protected $mJsConfigVars = [...]; protected $mTemplateIds = [...]; protected $mImageTimeKeys = [...]; public $mRedirectCode = ''; protected $mFeedLinksAppendQuery = NULL; protected $mAllowedModules = [...]; protected $mDoNothing = FALSE; protected $mParserOptions = class ParserOptions { ... }; private $mFeedLinks = [...]; protected $mEnableClientCache = TRUE; private $mArticleBodyOnly = FALSE; protected $mNewSectionLink = FALSE; protected $mHideNewSectionLink = FALSE; public $mNoGallery = FALSE; protected $mCdnMaxage = 0; protected $mCdnMaxageLimit = INF; protected $mPreventClickjacking = TRUE; private $mRevisionId = NULL; private $mRevisionIsCurrent = NULL; private $mRevisionTimestamp = NULL; protected $mFileVersion = NULL; protected $styles = [...]; private $mIndexPolicy = 'index'; private $mFollowPolicy = 'follow'; private $mRobotsOptions = [...]; private $mVaryHeader = [...]; private $mRedirectedFrom = NULL; private $mProperties = [...]; private $mTarget = NULL; private $mEnableTOC = FALSE; private $copyrightUrl = NULL; private $limitReportJSData = [...]; private $contentOverrides = [...]; private $contentOverrideCallbacks = [...]; private $mLinkHeader = [...]; private $CSP = class ContentSecurityPolicy { ... } }; private $user = class User { public $mId = 0; public $mName = FALSE; public $mActorId = NULL; public $mRealName = ''; public $mEmail = ''; public $mTouched = '1'; protected $mQuickTouched = NULL; protected $mToken = NULL; public $mEmailAuthenticated = NULL; protected $mEmailToken = ''; protected $mEmailTokenExpires = NULL; protected $mRegistration = '20230608214143'; protected $mLoadedItems = TRUE; public $mFrom = 'session'; protected $mDatePreference = NULL; private $mBlockedby = -1; protected $mHash = FALSE; protected $mBlockreason = NULL; protected $mGlobalBlock = NULL; protected $mLocked = NULL; private $mHideName = NULL; private $mRequest = class WebRequest { ... }; private $mBlock = NULL; private $mBlockedFromCreateAccount = FALSE; protected $queryFlagsUsed = 0; private $mThisAsAuthority = class MediaWiki\Permissions\UserAuthority { ... }; private $isTemp = NULL }; private $authority = NULL; private $lang = class LanguageEn { public $mCode = 'en'; public $mMagicExtensions = [...]; private ${Language}mHtmlCode = 'en'; public $dateFormatStrings = [...]; public $mExtendedSpecialPageAliases = [...]; protected $namespaceNames = [...]; protected $mNamespaceIds = NULL; protected $namespaceAliases = NULL; private ${Language}transformData = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}namespaceInfo = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}localisationCache = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langNameUtils = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}langFallback = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}grammarTransformCache = NULL; private ${Language}converterFactory = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookContainer = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}hookRunner = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}config = class Wikimedia\DebugInfo\Placeholder { ... }; private ${Language}overrideUcfirstCharacters = NULL }; private $skin = class MediaWiki\Skins\Vector\SkinVectorLegacy { private ${ContextSource}context = ...; private ${Skin}defaultLinkOptions = [...]; protected $skinname = 'vector'; protected $options = [...]; protected $mRelevantTitle = NULL; private ${Skin}mRelevantUser = FALSE; private ${Skin}languageLinks = NULL; private ${Skin}sidebar = NULL; private ${Skin}componentRegistry = class MediaWiki\Skin\SkinComponentRegistry { ... }; public $template = NULL; public $thispage = NULL; public $titletxt = NULL; public $userpage = NULL; public $thisquery = NULL; public $loggedin = NULL; public $username = NULL; public $userpageUrlDetails = NULL; private ${SkinTemplate}isTempUser = NULL; private ${SkinTemplate}isNamedUser = NULL; private ${SkinTemplate}templateContextSet = FALSE; private ${SkinTemplate}contentNavigationCached = NULL; private ${SkinMustache}templateParser = NULL; private ${MediaWiki\Skins\Vector\SkinVector}languages = NULL }; private $timing = NULL; private $config = class GlobalVarConfig { private $prefix = 'wg' }; private $languageRecursion = FALSE }, $including = ???, $linkRenderer = ??? )	.../MediaWiki.php:324
7	0.0622	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0622	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0622	2013344	FormulaInfo->DisplayInfo( $oldID = '63457', $eid = 'math.63457.67' )	.../FormulaInfo.php:45
10	0.9141	5206064	FormulaInfo::DisplayTranslations( $tex = '\\incGamma@{a}{z} = \\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-n}}\\incGamma@{a-n}{z}+z^{a-1}e^{-z}\\sum_{k=0}^{n-1}\\frac{\\EulerGamma@{a}}{\\EulerGamma@{a-k}}z^{-k}' )	.../FormulaInfo.php:168
11	0.9435	5290520	FormulaInfo::PrintTranslationResult( $cas = 'Mathematica', $result = '<html>\r\n<head><title>301 Moved Permanently</title></head>\r\n<body>\r\n<center><h1>301 Moved Permanently</h1></center>\r\n<hr><center>nginx/1.18.0</center>\r\n</body>\r\n</html>\r\n' )	.../FormulaInfo.php:91

General

LaTeXML (experimental; uses MathML) rendering

SVG (MathML can be enabled via browser plugin) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

General

LaTeXML (experimental; uses MathML) rendering

SVG (MathML can be enabled via browser plugin) rendering

Translations to Computer Algebra Systems

Translation to Maple

Translation to Mathematica

Similar pages

Identifiers

MathML observations

Navigation menu

Search