- DRMF

General

Display information for equation id:math.63459.71 on revision:63459

* Page found: Results of Bessel Functions (eq math.63459.71)

Occurrences on the following pages:

Results of Bessel Functions Eq: math.63459.71

Hash: 0b707dfb5b4cad58bbe2bc5590c01e1e

TeX (original user input):

\sin@{\nu\pi}\HankelH{1}{\nu}@{ze^{m\pi i}} = -\sin@{(m-1)\nu\pi}\HankelH{1}{\nu}@{z}-e^{-\nu\pi i}\sin@{m\nu\pi}\HankelH{2}{\nu}@{z}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (15.643 KB / 2.145 KB) :

{\displaystyle{\displaystyle\sin\left(\nu\pi\right){H^{(1)}_{\nu}}\left(ze^{m% \pi i}\right)=-\sin\left((m-1)\nu\pi\right){H^{(1)}_{\nu}}\left(z\right)-e^{-% \nu\pi i}\sin\left(m\nu\pi\right){H^{(2)}_{\nu}}\left(z\right)}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\sin\left(\nu\pi\right){H^{(1)}_{\nu}}\left(ze^{m%&#10;\pi i}\right)=-\sin\left((m-1)\nu\pi\right){H^{(1)}_{\nu}}\left(z\right)-e^{-%&#10;\nu\pi i}\sin\left(m\nu\pi\right){H^{(2)}_{\nu}}\left(z\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">
      <mrow id="p1.1.m1.1.12.1" xref="p1.1.m1.1.12.1.cmml">
        <mrow id="p1.1.m1.1.1.7.2" xref="p1.1.m1.1.1.1.cmml">
          <mi id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.1.cmml">sin</mi>
          <mo id="p1.1.m1.1.1.7.2a" xref="p1.1.m1.1.1.1.cmml">⁡</mo>
          <mrow id="p1.1.m1.1.1.7.2.1" 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>
            <mrow id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">
              <mi id="p1.1.m1.1.1.5.1" xref="p1.1.m1.1.1.5.1.cmml">ν</mi>
              <mo id="p1.1.m1.1.1.5.3" xref="p1.1.m1.1.1.5.3.cmml">⁢</mo>
              <mi id="p1.1.m1.1.1.5.2" xref="p1.1.m1.1.1.5.2.cmml">π</mi>
            </mrow>
            <mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">)</mo>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.12.1.1" xref="p1.1.m1.1.12.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.2.7.2" xref="p1.1.m1.1.2.1.cmml">
          <msubsup id="p1.1.m1.1.2.2.1.5" xref="p1.1.m1.1.2.2.1.1.cmml">
            <mi id="p1.1.m1.1.2.2.1.2" xref="p1.1.m1.1.2.2.1.1.1.cmml">H</mi>
            <mi id="p1.1.m1.1.2.2.1.4.1" xref="p1.1.m1.1.2.2.1.4.1.cmml">ν</mi>
            <mrow id="p1.1.m1.1.2.2.1.3.1" xref="p1.1.m1.1.2.2.1.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.2.2.1.3.1.1" xref="p1.1.m1.1.2.2.1.1.1.cmml">(</mo>
              <mn id="p1.1.m1.1.2.2.1.3.1.2" xref="p1.1.m1.1.2.2.1.1.1.cmml">1</mn>
              <mo stretchy="false" id="p1.1.m1.1.2.2.1.3.1.3" xref="p1.1.m1.1.2.2.1.1.1.cmml">)</mo>
            </mrow>
          </msubsup>
          <mo id="p1.1.m1.1.2.7.2a" xref="p1.1.m1.1.2.1.cmml">⁡</mo>
          <mrow id="p1.1.m1.1.2.7.2.1" xref="p1.1.m1.1.2.1.cmml">
            <mo id="p1.1.m1.1.2.4" xref="p1.1.m1.1.2.1.cmml">(</mo>
            <mrow id="p1.1.m1.1.2.5" xref="p1.1.m1.1.2.5.cmml">
              <mi id="p1.1.m1.1.2.5.1" xref="p1.1.m1.1.2.5.1.cmml">z</mi>
              <mo id="p1.1.m1.1.2.5.4" xref="p1.1.m1.1.2.5.4.cmml">⁢</mo>
              <msup id="p1.1.m1.1.2.5.5" xref="p1.1.m1.1.2.5.5.cmml">
                <mi id="p1.1.m1.1.2.5.2" xref="p1.1.m1.1.2.5.2.cmml">e</mi>
                <mrow id="p1.1.m1.1.2.5.3.1" xref="p1.1.m1.1.2.5.3.1.cmml">
                  <mi id="p1.1.m1.1.2.5.3.1.1" xref="p1.1.m1.1.2.5.3.1.1.cmml">m</mi>
                  <mo id="p1.1.m1.1.2.5.3.1.4" xref="p1.1.m1.1.2.5.3.1.4.cmml">⁢</mo>
                  <mi id="p1.1.m1.1.2.5.3.1.2" xref="p1.1.m1.1.2.5.3.1.2.cmml">π</mi>
                  <mo id="p1.1.m1.1.2.5.3.1.4a" xref="p1.1.m1.1.2.5.3.1.4.cmml">⁢</mo>
                  <mi id="p1.1.m1.1.2.5.3.1.3" xref="p1.1.m1.1.2.5.3.1.3.cmml">i</mi>
                </mrow>
              </msup>
            </mrow>
            <mo id="p1.1.m1.1.2.6" xref="p1.1.m1.1.2.1.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">=</mo>
      <mrow id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">
        <mrow id="p1.1.m1.1.12.2.1" xref="p1.1.m1.1.12.2.1.cmml">
          <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">-</mo>
          <mrow id="p1.1.m1.1.12.2.1.1" xref="p1.1.m1.1.12.2.1.1.cmml">
            <mrow id="p1.1.m1.1.5.7.2" xref="p1.1.m1.1.5.1.cmml">
              <mi id="p1.1.m1.1.5.2.1.2" xref="p1.1.m1.1.5.2.1.1.cmml">sin</mi>
              <mo id="p1.1.m1.1.5.7.2a" xref="p1.1.m1.1.5.1.cmml">⁡</mo>
              <mrow id="p1.1.m1.1.5.7.2.1" xref="p1.1.m1.1.5.1.cmml">
                <mo id="p1.1.m1.1.5.4" xref="p1.1.m1.1.5.1.cmml">(</mo>
                <mrow id="p1.1.m1.1.5.5" xref="p1.1.m1.1.5.5.cmml">
                  <mrow id="p1.1.m1.1.5.5.9" xref="p1.1.m1.1.5.5.9.2.cmml">
                    <mo stretchy="false" id="p1.1.m1.1.5.5.1" xref="p1.1.m1.1.5.5.9.2.cmml">(</mo>
                    <mrow id="p1.1.m1.1.5.5.9.2" xref="p1.1.m1.1.5.5.9.2.cmml">
                      <mi id="p1.1.m1.1.5.5.2" xref="p1.1.m1.1.5.5.2.cmml">m</mi>
                      <mo id="p1.1.m1.1.5.5.3" xref="p1.1.m1.1.5.5.3.cmml">-</mo>
                      <mn id="p1.1.m1.1.5.5.4" xref="p1.1.m1.1.5.5.4.cmml">1</mn>
                    </mrow>
                    <mo stretchy="false" id="p1.1.m1.1.5.5.5" xref="p1.1.m1.1.5.5.9.2.cmml">)</mo>
                  </mrow>
                  <mo id="p1.1.m1.1.5.5.8" xref="p1.1.m1.1.5.5.8.cmml">⁢</mo>
                  <mi id="p1.1.m1.1.5.5.6" xref="p1.1.m1.1.5.5.6.cmml">ν</mi>
                  <mo id="p1.1.m1.1.5.5.8a" xref="p1.1.m1.1.5.5.8.cmml">⁢</mo>
                  <mi id="p1.1.m1.1.5.5.7" xref="p1.1.m1.1.5.5.7.cmml">π</mi>
                </mrow>
                <mo id="p1.1.m1.1.5.6" xref="p1.1.m1.1.5.1.cmml">)</mo>
              </mrow>
            </mrow>
            <mo id="p1.1.m1.1.12.2.1.1.1" xref="p1.1.m1.1.12.2.1.1.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.6.7.2" xref="p1.1.m1.1.6.1.cmml">
              <msubsup id="p1.1.m1.1.6.2.1.5" xref="p1.1.m1.1.6.2.1.1.cmml">
                <mi id="p1.1.m1.1.6.2.1.2" xref="p1.1.m1.1.6.2.1.1.1.cmml">H</mi>
                <mi id="p1.1.m1.1.6.2.1.4.1" xref="p1.1.m1.1.6.2.1.4.1.cmml">ν</mi>
                <mrow id="p1.1.m1.1.6.2.1.3.1" xref="p1.1.m1.1.6.2.1.1.cmml">
                  <mo stretchy="false" id="p1.1.m1.1.6.2.1.3.1.1" xref="p1.1.m1.1.6.2.1.1.1.cmml">(</mo>
                  <mn id="p1.1.m1.1.6.2.1.3.1.2" xref="p1.1.m1.1.6.2.1.1.1.cmml">1</mn>
                  <mo stretchy="false" id="p1.1.m1.1.6.2.1.3.1.3" xref="p1.1.m1.1.6.2.1.1.1.cmml">)</mo>
                </mrow>
              </msubsup>
              <mo id="p1.1.m1.1.6.7.2a" xref="p1.1.m1.1.6.1.cmml">⁡</mo>
              <mrow id="p1.1.m1.1.6.7.2.1" xref="p1.1.m1.1.6.1.cmml">
                <mo id="p1.1.m1.1.6.4" xref="p1.1.m1.1.6.1.cmml">(</mo>
                <mi id="p1.1.m1.1.6.5" xref="p1.1.m1.1.6.5.cmml">z</mi>
                <mo id="p1.1.m1.1.6.6" xref="p1.1.m1.1.6.1.cmml">)</mo>
              </mrow>
            </mrow>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">-</mo>
        <mrow id="p1.1.m1.1.12.2.2" xref="p1.1.m1.1.12.2.2.cmml">
          <msup id="p1.1.m1.1.12.2.2.2" xref="p1.1.m1.1.12.2.2.2.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>
              <mrow id="p1.1.m1.1.9.1.5" xref="p1.1.m1.1.9.1.5.cmml">
                <mi id="p1.1.m1.1.9.1.2" xref="p1.1.m1.1.9.1.2.cmml">ν</mi>
                <mo id="p1.1.m1.1.9.1.5.1" xref="p1.1.m1.1.9.1.5.1.cmml">⁢</mo>
                <mi id="p1.1.m1.1.9.1.3" xref="p1.1.m1.1.9.1.3.cmml">π</mi>
                <mo id="p1.1.m1.1.9.1.5.1a" xref="p1.1.m1.1.9.1.5.1.cmml">⁢</mo>
                <mi id="p1.1.m1.1.9.1.4" xref="p1.1.m1.1.9.1.4.cmml">i</mi>
              </mrow>
            </mrow>
          </msup>
          <mo id="p1.1.m1.1.12.2.2.1" xref="p1.1.m1.1.12.2.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.10.7.2" xref="p1.1.m1.1.10.1.cmml">
            <mi id="p1.1.m1.1.10.2.1.2" xref="p1.1.m1.1.10.2.1.1.cmml">sin</mi>
            <mo id="p1.1.m1.1.10.7.2a" xref="p1.1.m1.1.10.1.cmml">⁡</mo>
            <mrow id="p1.1.m1.1.10.7.2.1" xref="p1.1.m1.1.10.1.cmml">
              <mo id="p1.1.m1.1.10.4" xref="p1.1.m1.1.10.1.cmml">(</mo>
              <mrow id="p1.1.m1.1.10.5" xref="p1.1.m1.1.10.5.cmml">
                <mi id="p1.1.m1.1.10.5.1" xref="p1.1.m1.1.10.5.1.cmml">m</mi>
                <mo id="p1.1.m1.1.10.5.4" xref="p1.1.m1.1.10.5.4.cmml">⁢</mo>
                <mi id="p1.1.m1.1.10.5.2" xref="p1.1.m1.1.10.5.2.cmml">ν</mi>
                <mo id="p1.1.m1.1.10.5.4a" xref="p1.1.m1.1.10.5.4.cmml">⁢</mo>
                <mi id="p1.1.m1.1.10.5.3" xref="p1.1.m1.1.10.5.3.cmml">π</mi>
              </mrow>
              <mo id="p1.1.m1.1.10.6" xref="p1.1.m1.1.10.1.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.12.2.2.1a" xref="p1.1.m1.1.12.2.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.11.7.2" xref="p1.1.m1.1.11.1.cmml">
            <msubsup id="p1.1.m1.1.11.2.1.5" xref="p1.1.m1.1.11.2.1.1.cmml">
              <mi id="p1.1.m1.1.11.2.1.2" xref="p1.1.m1.1.11.2.1.1.1.cmml">H</mi>
              <mi id="p1.1.m1.1.11.2.1.4.1" xref="p1.1.m1.1.11.2.1.4.1.cmml">ν</mi>
              <mrow id="p1.1.m1.1.11.2.1.3.1" xref="p1.1.m1.1.11.2.1.1.cmml">
                <mo stretchy="false" id="p1.1.m1.1.11.2.1.3.1.1" xref="p1.1.m1.1.11.2.1.1.1.cmml">(</mo>
                <mn id="p1.1.m1.1.11.2.1.3.1.2" xref="p1.1.m1.1.11.2.1.1.1.cmml">2</mn>
                <mo stretchy="false" id="p1.1.m1.1.11.2.1.3.1.3" xref="p1.1.m1.1.11.2.1.1.1.cmml">)</mo>
              </mrow>
            </msubsup>
            <mo id="p1.1.m1.1.11.7.2a" xref="p1.1.m1.1.11.1.cmml">⁡</mo>
            <mrow id="p1.1.m1.1.11.7.2.1" xref="p1.1.m1.1.11.1.cmml">
              <mo id="p1.1.m1.1.11.4" xref="p1.1.m1.1.11.1.cmml">(</mo>
              <mi id="p1.1.m1.1.11.5" xref="p1.1.m1.1.11.5.cmml">z</mi>
              <mo id="p1.1.m1.1.11.6" xref="p1.1.m1.1.11.1.cmml">)</mo>
            </mrow>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">
        <eq id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
        <apply id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.1">
          <times id="p1.1.m1.1.12.1.1.cmml" xref="p1.1.m1.1.12.1.1"/>
          <apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.7.2">
            <sin id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2"/>
            <apply id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">
              <times id="p1.1.m1.1.1.5.3.cmml" xref="p1.1.m1.1.1.5.3"/>
              <ci id="p1.1.m1.1.1.5.1.cmml" xref="p1.1.m1.1.1.5.1">𝜈</ci>
              <ci id="p1.1.m1.1.1.5.2.cmml" xref="p1.1.m1.1.1.5.2">𝜋</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.7.2">
            <apply id="p1.1.m1.1.2.2.1.1.cmml" xref="p1.1.m1.1.2.2.1.5">
              <csymbol cd="dlmf" id="p1.1.m1.1.2.2.1.1.1.cmml" xref="p1.1.m1.1.2.2.1.2">Hankel-H-1-Bessel-third-kind</csymbol>
              <ci id="p1.1.m1.1.2.2.1.4.1.cmml" xref="p1.1.m1.1.2.2.1.4.1">𝜈</ci>
            </apply>
            <apply id="p1.1.m1.1.2.5.cmml" xref="p1.1.m1.1.2.5">
              <times id="p1.1.m1.1.2.5.4.cmml" xref="p1.1.m1.1.2.5.4"/>
              <ci id="p1.1.m1.1.2.5.1.cmml" xref="p1.1.m1.1.2.5.1">𝑧</ci>
              <apply id="p1.1.m1.1.2.5.5.cmml" xref="p1.1.m1.1.2.5.5">
                <csymbol cd="ambiguous" id="p1.1.m1.1.2.5.5.1.cmml" xref="p1.1.m1.1.2.5.5">superscript</csymbol>
                <ci id="p1.1.m1.1.2.5.2.cmml" xref="p1.1.m1.1.2.5.2">𝑒</ci>
                <apply id="p1.1.m1.1.2.5.3.1.cmml" xref="p1.1.m1.1.2.5.3.1">
                  <times id="p1.1.m1.1.2.5.3.1.4.cmml" xref="p1.1.m1.1.2.5.3.1.4"/>
                  <ci id="p1.1.m1.1.2.5.3.1.1.cmml" xref="p1.1.m1.1.2.5.3.1.1">𝑚</ci>
                  <ci id="p1.1.m1.1.2.5.3.1.2.cmml" xref="p1.1.m1.1.2.5.3.1.2">𝜋</ci>
                  <ci id="p1.1.m1.1.2.5.3.1.3.cmml" xref="p1.1.m1.1.2.5.3.1.3">𝑖</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12.2">
          <minus id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
          <apply id="p1.1.m1.1.12.2.1.cmml" xref="p1.1.m1.1.12.2.1">
            <minus id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
            <apply id="p1.1.m1.1.12.2.1.1.cmml" xref="p1.1.m1.1.12.2.1.1">
              <times id="p1.1.m1.1.12.2.1.1.1.cmml" xref="p1.1.m1.1.12.2.1.1.1"/>
              <apply id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.7.2">
                <sin id="p1.1.m1.1.5.2.1.1.cmml" xref="p1.1.m1.1.5.2.1.2"/>
                <apply id="p1.1.m1.1.5.5.cmml" xref="p1.1.m1.1.5.5">
                  <times id="p1.1.m1.1.5.5.8.cmml" xref="p1.1.m1.1.5.5.8"/>
                  <apply id="p1.1.m1.1.5.5.9.2.cmml" xref="p1.1.m1.1.5.5.9">
                    <minus id="p1.1.m1.1.5.5.3.cmml" xref="p1.1.m1.1.5.5.3"/>
                    <ci id="p1.1.m1.1.5.5.2.cmml" xref="p1.1.m1.1.5.5.2">𝑚</ci>
                    <cn type="integer" id="p1.1.m1.1.5.5.4.cmml" xref="p1.1.m1.1.5.5.4">1</cn>
                  </apply>
                  <ci id="p1.1.m1.1.5.5.6.cmml" xref="p1.1.m1.1.5.5.6">𝜈</ci>
                  <ci id="p1.1.m1.1.5.5.7.cmml" xref="p1.1.m1.1.5.5.7">𝜋</ci>
                </apply>
              </apply>
              <apply id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.7.2">
                <apply id="p1.1.m1.1.6.2.1.1.cmml" xref="p1.1.m1.1.6.2.1.5">
                  <csymbol cd="dlmf" id="p1.1.m1.1.6.2.1.1.1.cmml" xref="p1.1.m1.1.6.2.1.2">Hankel-H-1-Bessel-third-kind</csymbol>
                  <ci id="p1.1.m1.1.6.2.1.4.1.cmml" xref="p1.1.m1.1.6.2.1.4.1">𝜈</ci>
                </apply>
                <ci id="p1.1.m1.1.6.5.cmml" xref="p1.1.m1.1.6.5">𝑧</ci>
              </apply>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.12.2.2.cmml" xref="p1.1.m1.1.12.2.2">
            <times id="p1.1.m1.1.12.2.2.1.cmml" xref="p1.1.m1.1.12.2.2.1"/>
            <apply id="p1.1.m1.1.12.2.2.2.cmml" xref="p1.1.m1.1.12.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.12.2.2.2.1.cmml" xref="p1.1.m1.1.12.2.2.2">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"/>
                <apply id="p1.1.m1.1.9.1.5.cmml" xref="p1.1.m1.1.9.1.5">
                  <times id="p1.1.m1.1.9.1.5.1.cmml" xref="p1.1.m1.1.9.1.5.1"/>
                  <ci id="p1.1.m1.1.9.1.2.cmml" xref="p1.1.m1.1.9.1.2">𝜈</ci>
                  <ci id="p1.1.m1.1.9.1.3.cmml" xref="p1.1.m1.1.9.1.3">𝜋</ci>
                  <ci id="p1.1.m1.1.9.1.4.cmml" xref="p1.1.m1.1.9.1.4">𝑖</ci>
                </apply>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.7.2">
              <sin id="p1.1.m1.1.10.2.1.1.cmml" xref="p1.1.m1.1.10.2.1.2"/>
              <apply id="p1.1.m1.1.10.5.cmml" xref="p1.1.m1.1.10.5">
                <times id="p1.1.m1.1.10.5.4.cmml" xref="p1.1.m1.1.10.5.4"/>
                <ci id="p1.1.m1.1.10.5.1.cmml" xref="p1.1.m1.1.10.5.1">𝑚</ci>
                <ci id="p1.1.m1.1.10.5.2.cmml" xref="p1.1.m1.1.10.5.2">𝜈</ci>
                <ci id="p1.1.m1.1.10.5.3.cmml" xref="p1.1.m1.1.10.5.3">𝜋</ci>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.7.2">
              <apply id="p1.1.m1.1.11.2.1.1.cmml" xref="p1.1.m1.1.11.2.1.5">
                <csymbol cd="dlmf" id="p1.1.m1.1.11.2.1.1.1.cmml" xref="p1.1.m1.1.11.2.1.2">Hankel-H-2-Bessel-third-kind</csymbol>
                <ci id="p1.1.m1.1.11.2.1.4.1.cmml" xref="p1.1.m1.1.11.2.1.4.1">𝜈</ci>
              </apply>
              <ci id="p1.1.m1.1.11.5.cmml" xref="p1.1.m1.1.11.5">𝑧</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\sin\left(\nu\pi\right){H^{(1)}_{\nu}}\left(ze^{m%
\pi i}\right)=-\sin\left((m-1)\nu\pi\right){H^{(1)}_{\nu}}\left(z\right)-e^{-%
\nu\pi i}\sin\left(m\nu\pi\right){H^{(2)}_{\nu}}\left(z\right)}}</annotation>
  </semantics>
</math>

SVG (20.254 KB / 5.533 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	0.0002	354792	{main}( )	.../index.php:0
2	0.0351	1736000	wfIndexMain( )	.../index.php:46
3	0.0352	1736096	MediaWiki->run( )	.../index.php:50
4	0.0352	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0356	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0919	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 = 1686265059.7877; 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.63459.71 on revision:63459\n</p><p>* Page found: <a href="/wiki/Results_of_Bessel_Functions#math.63459.71" title="Results of Bessel Functions">Results of Bessel Functions</a> (eq math.63459.71) </p><a href="/index.php?title=Results_of_Bessel_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/wiki/Results_of_Bessel_Functions#math.634'...; 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 = '20230608225739'; 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	0.0922	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0923	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0923	2013344	FormulaInfo->DisplayInfo( $oldID = '63459', $eid = 'math.63459.71' )	.../FormulaInfo.php:45
10	0.9243	5251432	FormulaInfo::DisplayTranslations( $tex = '\\sin@{\\nu\\pi}\\HankelH{1}{\\nu}@{ze^{m\\pi i}} = -\\sin@{(m-1)\\nu\\pi}\\HankelH{1}{\\nu}@{z}-e^{-\\nu\\pi i}\\sin@{m\\nu\\pi}\\HankelH{2}{\\nu}@{z}' )	.../FormulaInfo.php:168
11	0.9410	5299184	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	0.0002	354792	{main}( )	.../index.php:0
2	0.0351	1736000	wfIndexMain( )	.../index.php:46
3	0.0352	1736096	MediaWiki->run( )	.../index.php:50
4	0.0352	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0356	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0919	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 = 1686265059.7877; 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.63459.71 on revision:63459\n</p><p>* Page found: <a href="/wiki/Results_of_Bessel_Functions#math.63459.71" title="Results of Bessel Functions">Results of Bessel Functions</a> (eq math.63459.71) </p><a href="/index.php?title=Results_of_Bessel_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/wiki/Results_of_Bessel_Functions#math.634'...; 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 = '20230608225739'; 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	0.0922	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0923	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0923	2013344	FormulaInfo->DisplayInfo( $oldID = '63459', $eid = 'math.63459.71' )	.../FormulaInfo.php:45
10	0.9243	5251432	FormulaInfo::DisplayTranslations( $tex = '\\sin@{\\nu\\pi}\\HankelH{1}{\\nu}@{ze^{m\\pi i}} = -\\sin@{(m-1)\\nu\\pi}\\HankelH{1}{\\nu}@{z}-e^{-\\nu\\pi i}\\sin@{m\\nu\\pi}\\HankelH{2}{\\nu}@{z}' )	.../FormulaInfo.php:168
11	0.9410	5299184	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	0.0002	354792	{main}( )	.../index.php:0
2	0.0351	1736000	wfIndexMain( )	.../index.php:46
3	0.0352	1736096	MediaWiki->run( )	.../index.php:50
4	0.0352	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0356	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0919	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 = 1686265059.7877; 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.63459.71 on revision:63459\n</p><p>* Page found: <a href="/wiki/Results_of_Bessel_Functions#math.63459.71" title="Results of Bessel Functions">Results of Bessel Functions</a> (eq math.63459.71) </p><a href="/index.php?title=Results_of_Bessel_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/wiki/Results_of_Bessel_Functions#math.634'...; 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 = '20230608225739'; 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	0.0922	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0923	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0923	2013344	FormulaInfo->DisplayInfo( $oldID = '63459', $eid = 'math.63459.71' )	.../FormulaInfo.php:45
10	0.9243	5251432	FormulaInfo::DisplayTranslations( $tex = '\\sin@{\\nu\\pi}\\HankelH{1}{\\nu}@{ze^{m\\pi i}} = -\\sin@{(m-1)\\nu\\pi}\\HankelH{1}{\\nu}@{z}-e^{-\\nu\\pi i}\\sin@{m\\nu\\pi}\\HankelH{2}{\\nu}@{z}' )	.../FormulaInfo.php:168
11	0.9410	5299184	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	0.9488	5318544	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	0.0002	354792	{main}( )	.../index.php:0
2	0.0351	1736000	wfIndexMain( )	.../index.php:46
3	0.0352	1736096	MediaWiki->run( )	.../index.php:50
4	0.0352	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0356	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0919	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 = 1686265059.7877; 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.63459.71 on revision:63459\n</p><p>* Page found: <a href="/wiki/Results_of_Bessel_Functions#math.63459.71" title="Results of Bessel Functions">Results of Bessel Functions</a> (eq math.63459.71) </p><a href="/index.php?title=Results_of_Bessel_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/wiki/Results_of_Bessel_Functions#math.634'...; 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 = '20230608225739'; 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	0.0922	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0923	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0923	2013344	FormulaInfo->DisplayInfo( $oldID = '63459', $eid = 'math.63459.71' )	.../FormulaInfo.php:45
10	0.9243	5251432	FormulaInfo::DisplayTranslations( $tex = '\\sin@{\\nu\\pi}\\HankelH{1}{\\nu}@{ze^{m\\pi i}} = -\\sin@{(m-1)\\nu\\pi}\\HankelH{1}{\\nu}@{z}-e^{-\\nu\\pi i}\\sin@{m\\nu\\pi}\\HankelH{2}{\\nu}@{z}' )	.../FormulaInfo.php:168
11	0.9504	5335888	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	0.0002	354792	{main}( )	.../index.php:0
2	0.0351	1736000	wfIndexMain( )	.../index.php:46
3	0.0352	1736096	MediaWiki->run( )	.../index.php:50
4	0.0352	1736096	MediaWiki->main( )	.../MediaWiki.php:573
5	0.0356	1749464	MediaWiki->performRequest( )	.../MediaWiki.php:917
6	0.0919	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 = 1686265059.7877; 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.63459.71 on revision:63459\n</p><p>* Page found: <a href="/wiki/Results_of_Bessel_Functions#math.63459.71" title="Results of Bessel Functions">Results of Bessel Functions</a> (eq math.63459.71) </p><a href="/index.php?title=Results_of_Bessel_Functions&action=purge&mathpurge=true">(force rerendering)</a><p>Occurrences on the following pages:\n</p><ul><li><a href="/wiki/Results_of_Bessel_Functions#math.634'...; 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 = '20230608225739'; 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	0.0922	2013344	SpecialPage->run( $subPage = NULL )	.../SpecialPageFactory.php:1460
8	0.0923	2013344	FormulaInfo->execute( $par = NULL )	.../SpecialPage.php:700
9	0.0923	2013344	FormulaInfo->DisplayInfo( $oldID = '63459', $eid = 'math.63459.71' )	.../FormulaInfo.php:45
10	0.9243	5251432	FormulaInfo::DisplayTranslations( $tex = '\\sin@{\\nu\\pi}\\HankelH{1}{\\nu}@{ze^{m\\pi i}} = -\\sin@{(m-1)\\nu\\pi}\\HankelH{1}{\\nu}@{z}-e^{-\\nu\\pi i}\\sin@{m\\nu\\pi}\\HankelH{2}{\\nu}@{z}' )	.../FormulaInfo.php:168
11	0.9504	5335888	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