- DRMF

General

Display information for equation id:math.3349.0 on revision:3349

* Page found: Formula:KLS:09.02:15 (eq math.3349.0)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: 86f228f6e78f071ef6dbdec8526f0f07

TeX (original user input):

{\displaystyle 
n(n+\alpha+\beta+1)y(x)=B(x)y(x+1)-\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)
}

TeX (checked):

{\displaystyle n(n+\alpha +\beta +1)y(x)=B(x)y(x+1)-\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}

LaTeXML (experimental; uses MathML) rendering

MathML (11.564 KB / 1.571 KB) :

{\displaystyle{\displaystyle{\displaystyle n(n+\alpha+\beta+1)y(x)=B(x)y(x+1)-% \left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}}}

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{\displaystyle n(n+\alpha+\beta+1)y(x)=B(x)y(x+1)-%&#10;\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.53" xref="p1.1.m1.1.53.cmml">
      <mrow id="p1.1.m1.1.53.1" xref="p1.1.m1.1.53.1.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">n</mi>
        <mo id="p1.1.m1.1.53.1.1" xref="p1.1.m1.1.53.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.53.1.2" xref="p1.1.m1.1.53.1.2.2.cmml">
          <mo stretchy="false" id="p1.1.m1.1.2" xref="p1.1.m1.1.53.1.2.2.cmml">(</mo>
          <mrow id="p1.1.m1.1.53.1.2.2" xref="p1.1.m1.1.53.1.2.2.cmml">
            <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">n</mi>
            <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">+</mo>
            <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">α</mi>
            <mo id="p1.1.m1.1.4a" xref="p1.1.m1.1.4.cmml">+</mo>
            <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">β</mi>
            <mo id="p1.1.m1.1.4b" xref="p1.1.m1.1.4.cmml">+</mo>
            <mn id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">1</mn>
          </mrow>
          <mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.53.1.2.2.cmml">)</mo>
        </mrow>
        <mo id="p1.1.m1.1.53.1.1a" xref="p1.1.m1.1.53.1.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">y</mi>
        <mo id="p1.1.m1.1.53.1.1b" xref="p1.1.m1.1.53.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.53.1.3" xref="p1.1.m1.1.53.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.12" xref="p1.1.m1.1.53.1.cmml">(</mo>
          <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">x</mi>
          <mo stretchy="false" id="p1.1.m1.1.14" xref="p1.1.m1.1.53.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">=</mo>
      <mrow id="p1.1.m1.1.53.2" xref="p1.1.m1.1.53.2.cmml">
        <mrow id="p1.1.m1.1.53.2.1" xref="p1.1.m1.1.53.2.1.cmml">
          <mrow id="p1.1.m1.1.53.2.1.1" xref="p1.1.m1.1.53.2.1.1.cmml">
            <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">B</mi>
            <mo id="p1.1.m1.1.53.2.1.1.1" xref="p1.1.m1.1.53.2.1.1.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.53.2.1.1.2" xref="p1.1.m1.1.53.2.1.1.cmml">
              <mo stretchy="false" id="p1.1.m1.1.17" xref="p1.1.m1.1.53.2.1.1.cmml">(</mo>
              <mi id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">x</mi>
              <mo stretchy="false" id="p1.1.m1.1.19" xref="p1.1.m1.1.53.2.1.1.cmml">)</mo>
            </mrow>
            <mo id="p1.1.m1.1.53.2.1.1.1a" xref="p1.1.m1.1.53.2.1.1.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">y</mi>
            <mo id="p1.1.m1.1.53.2.1.1.1b" xref="p1.1.m1.1.53.2.1.1.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.53.2.1.1.3" xref="p1.1.m1.1.53.2.1.1.3.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.21" xref="p1.1.m1.1.53.2.1.1.3.2.cmml">(</mo>
              <mrow id="p1.1.m1.1.53.2.1.1.3.2" xref="p1.1.m1.1.53.2.1.1.3.2.cmml">
                <mi id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">x</mi>
                <mo id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">+</mo>
                <mn id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">1</mn>
              </mrow>
              <mo stretchy="false" id="p1.1.m1.1.25" xref="p1.1.m1.1.53.2.1.1.3.2.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">-</mo>
          <mrow id="p1.1.m1.1.53.2.1.2" xref="p1.1.m1.1.53.2.1.2.cmml">
            <mrow id="p1.1.m1.1.53.2.1.2.2" xref="p1.1.m1.1.53.2.1.2.2.1.cmml">
              <mo id="p1.1.m1.1.27" xref="p1.1.m1.1.53.2.1.2.2.1.1.cmml">[</mo>
              <mrow id="p1.1.m1.1.53.2.1.2.2.2" xref="p1.1.m1.1.53.2.1.2.2.2.cmml">
                <mrow id="p1.1.m1.1.53.2.1.2.2.2.1" xref="p1.1.m1.1.53.2.1.2.2.2.1.cmml">
                  <mi id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">B</mi>
                  <mo id="p1.1.m1.1.53.2.1.2.2.2.1.1" xref="p1.1.m1.1.53.2.1.2.2.2.1.1.cmml">⁢</mo>
                  <mrow id="p1.1.m1.1.53.2.1.2.2.2.1.2" xref="p1.1.m1.1.53.2.1.2.2.2.1.cmml">
                    <mo stretchy="false" id="p1.1.m1.1.29" xref="p1.1.m1.1.53.2.1.2.2.2.1.cmml">(</mo>
                    <mi id="p1.1.m1.1.30" xref="p1.1.m1.1.30.cmml">x</mi>
                    <mo stretchy="false" id="p1.1.m1.1.31" xref="p1.1.m1.1.53.2.1.2.2.2.1.cmml">)</mo>
                  </mrow>
                </mrow>
                <mo id="p1.1.m1.1.32" xref="p1.1.m1.1.32.cmml">+</mo>
                <mrow id="p1.1.m1.1.53.2.1.2.2.2.2" xref="p1.1.m1.1.53.2.1.2.2.2.2.cmml">
                  <mi id="p1.1.m1.1.33" xref="p1.1.m1.1.33.cmml">D</mi>
                  <mo id="p1.1.m1.1.53.2.1.2.2.2.2.1" xref="p1.1.m1.1.53.2.1.2.2.2.2.1.cmml">⁢</mo>
                  <mrow id="p1.1.m1.1.53.2.1.2.2.2.2.2" xref="p1.1.m1.1.53.2.1.2.2.2.2.cmml">
                    <mo stretchy="false" id="p1.1.m1.1.34" xref="p1.1.m1.1.53.2.1.2.2.2.2.cmml">(</mo>
                    <mi id="p1.1.m1.1.35" xref="p1.1.m1.1.35.cmml">x</mi>
                    <mo stretchy="false" id="p1.1.m1.1.36" xref="p1.1.m1.1.53.2.1.2.2.2.2.cmml">)</mo>
                  </mrow>
                </mrow>
              </mrow>
              <mo id="p1.1.m1.1.37" xref="p1.1.m1.1.53.2.1.2.2.1.1.cmml">]</mo>
            </mrow>
            <mo id="p1.1.m1.1.53.2.1.2.1" xref="p1.1.m1.1.53.2.1.2.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.38" xref="p1.1.m1.1.38.cmml">y</mi>
            <mo id="p1.1.m1.1.53.2.1.2.1a" xref="p1.1.m1.1.53.2.1.2.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.53.2.1.2.3" xref="p1.1.m1.1.53.2.1.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.39" xref="p1.1.m1.1.53.2.1.2.cmml">(</mo>
              <mi id="p1.1.m1.1.40" xref="p1.1.m1.1.40.cmml">x</mi>
              <mo stretchy="false" id="p1.1.m1.1.41" xref="p1.1.m1.1.53.2.1.2.cmml">)</mo>
            </mrow>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.42" xref="p1.1.m1.1.42.cmml">+</mo>
        <mrow id="p1.1.m1.1.53.2.2" xref="p1.1.m1.1.53.2.2.cmml">
          <mi id="p1.1.m1.1.43" xref="p1.1.m1.1.43.cmml">D</mi>
          <mo id="p1.1.m1.1.53.2.2.1" xref="p1.1.m1.1.53.2.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.53.2.2.2" xref="p1.1.m1.1.53.2.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.44" xref="p1.1.m1.1.53.2.2.cmml">(</mo>
            <mi id="p1.1.m1.1.45" xref="p1.1.m1.1.45.cmml">x</mi>
            <mo stretchy="false" id="p1.1.m1.1.46" xref="p1.1.m1.1.53.2.2.cmml">)</mo>
          </mrow>
          <mo id="p1.1.m1.1.53.2.2.1a" xref="p1.1.m1.1.53.2.2.1.cmml">⁢</mo>
          <mi id="p1.1.m1.1.47" xref="p1.1.m1.1.47.cmml">y</mi>
          <mo id="p1.1.m1.1.53.2.2.1b" xref="p1.1.m1.1.53.2.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.53.2.2.3" xref="p1.1.m1.1.53.2.2.3.2.cmml">
            <mo stretchy="false" id="p1.1.m1.1.48" xref="p1.1.m1.1.53.2.2.3.2.cmml">(</mo>
            <mrow id="p1.1.m1.1.53.2.2.3.2" xref="p1.1.m1.1.53.2.2.3.2.cmml">
              <mi id="p1.1.m1.1.49" xref="p1.1.m1.1.49.cmml">x</mi>
              <mo id="p1.1.m1.1.50" xref="p1.1.m1.1.50.cmml">-</mo>
              <mn id="p1.1.m1.1.51" xref="p1.1.m1.1.51.cmml">1</mn>
            </mrow>
            <mo stretchy="false" id="p1.1.m1.1.52" xref="p1.1.m1.1.53.2.2.3.2.cmml">)</mo>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.53.cmml" xref="p1.1.m1.1.53">
        <eq id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15"/>
        <apply id="p1.1.m1.1.53.1.cmml" xref="p1.1.m1.1.53.1">
          <times id="p1.1.m1.1.53.1.1.cmml" xref="p1.1.m1.1.53.1.1"/>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑛</ci>
          <apply id="p1.1.m1.1.53.1.2.2.cmml" xref="p1.1.m1.1.53.1.2">
            <plus id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
            <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑛</ci>
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝛼</ci>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝛽</ci>
            <cn type="integer" id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">1</cn>
          </apply>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝑦</ci>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑥</ci>
        </apply>
        <apply id="p1.1.m1.1.53.2.cmml" xref="p1.1.m1.1.53.2">
          <plus id="p1.1.m1.1.42.cmml" xref="p1.1.m1.1.42"/>
          <apply id="p1.1.m1.1.53.2.1.cmml" xref="p1.1.m1.1.53.2.1">
            <minus id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26"/>
            <apply id="p1.1.m1.1.53.2.1.1.cmml" xref="p1.1.m1.1.53.2.1.1">
              <times id="p1.1.m1.1.53.2.1.1.1.cmml" xref="p1.1.m1.1.53.2.1.1.1"/>
              <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝐵</ci>
              <ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">𝑥</ci>
              <ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">𝑦</ci>
              <apply id="p1.1.m1.1.53.2.1.1.3.2.cmml" xref="p1.1.m1.1.53.2.1.1.3">
                <plus id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23"/>
                <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">𝑥</ci>
                <cn type="integer" id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">1</cn>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.53.2.1.2.cmml" xref="p1.1.m1.1.53.2.1.2">
              <times id="p1.1.m1.1.53.2.1.2.1.cmml" xref="p1.1.m1.1.53.2.1.2.1"/>
              <apply id="p1.1.m1.1.53.2.1.2.2.1.cmml" xref="p1.1.m1.1.53.2.1.2.2">
                <csymbol cd="latexml" id="p1.1.m1.1.53.2.1.2.2.1.1.cmml" xref="p1.1.m1.1.27">delimited-[]</csymbol>
                <apply id="p1.1.m1.1.53.2.1.2.2.2.cmml" xref="p1.1.m1.1.53.2.1.2.2.2">
                  <plus id="p1.1.m1.1.32.cmml" xref="p1.1.m1.1.32"/>
                  <apply id="p1.1.m1.1.53.2.1.2.2.2.1.cmml" xref="p1.1.m1.1.53.2.1.2.2.2.1">
                    <times id="p1.1.m1.1.53.2.1.2.2.2.1.1.cmml" xref="p1.1.m1.1.53.2.1.2.2.2.1.1"/>
                    <ci id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">𝐵</ci>
                    <ci id="p1.1.m1.1.30.cmml" xref="p1.1.m1.1.30">𝑥</ci>
                  </apply>
                  <apply id="p1.1.m1.1.53.2.1.2.2.2.2.cmml" xref="p1.1.m1.1.53.2.1.2.2.2.2">
                    <times id="p1.1.m1.1.53.2.1.2.2.2.2.1.cmml" xref="p1.1.m1.1.53.2.1.2.2.2.2.1"/>
                    <ci id="p1.1.m1.1.33.cmml" xref="p1.1.m1.1.33">𝐷</ci>
                    <ci id="p1.1.m1.1.35.cmml" xref="p1.1.m1.1.35">𝑥</ci>
                  </apply>
                </apply>
              </apply>
              <ci id="p1.1.m1.1.38.cmml" xref="p1.1.m1.1.38">𝑦</ci>
              <ci id="p1.1.m1.1.40.cmml" xref="p1.1.m1.1.40">𝑥</ci>
            </apply>
          </apply>
          <apply id="p1.1.m1.1.53.2.2.cmml" xref="p1.1.m1.1.53.2.2">
            <times id="p1.1.m1.1.53.2.2.1.cmml" xref="p1.1.m1.1.53.2.2.1"/>
            <ci id="p1.1.m1.1.43.cmml" xref="p1.1.m1.1.43">𝐷</ci>
            <ci id="p1.1.m1.1.45.cmml" xref="p1.1.m1.1.45">𝑥</ci>
            <ci id="p1.1.m1.1.47.cmml" xref="p1.1.m1.1.47">𝑦</ci>
            <apply id="p1.1.m1.1.53.2.2.3.2.cmml" xref="p1.1.m1.1.53.2.2.3">
              <minus id="p1.1.m1.1.50.cmml" xref="p1.1.m1.1.50"/>
              <ci id="p1.1.m1.1.49.cmml" xref="p1.1.m1.1.49">𝑥</ci>
              <cn type="integer" id="p1.1.m1.1.51.cmml" xref="p1.1.m1.1.51">1</cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{\displaystyle n(n+\alpha+\beta+1)y(x)=B(x)y(x+1)-%
\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}}}</annotation>
  </semantics>
</math>

SVG (15.382 KB / 4.085 KB) :

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (2.271 KB / 464 B) :

{\displaystyle n(n+\alpha +\beta +1)y(x)=B(x)y(x+1)-\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\displaystyle n(n+\alpha +\beta +1)y(x)=B(x)y(x+1)-\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mstyle displaystyle="true" scriptlevel="0">
            <mi>n</mi>
            <mo stretchy="false">(</mo>
            <mi>n</mi>
            <mo>+</mo>
            <mi>&#x03B1;<!-- α --></mi>
            <mo>+</mo>
            <mi>&#x03B2;<!-- β --></mi>
            <mo>+</mo>
            <mn>1</mn>
            <mo stretchy="false">)</mo>
            <mi>y</mi>
            <mo stretchy="false">(</mo>
            <mi>x</mi>
            <mo stretchy="false">)</mo>
            <mo>=</mo>
            <mi>B</mi>
            <mo stretchy="false">(</mo>
            <mi>x</mi>
            <mo stretchy="false">)</mo>
            <mi>y</mi>
            <mo stretchy="false">(</mo>
            <mi>x</mi>
            <mo>+</mo>
            <mn>1</mn>
            <mo stretchy="false">)</mo>
            <mo>&#x2212;<!-- − --></mo>
            <mrow>
              <mo>[</mo>
              <mrow>
                <mi>B</mi>
                <mo stretchy="false">(</mo>
                <mi>x</mi>
                <mo stretchy="false">)</mo>
                <mo>+</mo>
                <mi>D</mi>
                <mo stretchy="false">(</mo>
                <mi>x</mi>
                <mo stretchy="false">)</mo>
              </mrow>
              <mo>]</mo>
            </mrow>
            <mi>y</mi>
            <mo stretchy="false">(</mo>
            <mi>x</mi>
            <mo stretchy="false">)</mo>
            <mo>+</mo>
            <mi>D</mi>
            <mo stretchy="false">(</mo>
            <mi>x</mi>
            <mo stretchy="false">)</mo>
            <mi>y</mi>
            <mo stretchy="false">(</mo>
            <mi>x</mi>
            <mo>&#x2212;<!-- − --></mo>
            <mn>1</mn>
            <mo stretchy="false">)</mo>
          </mstyle>
        </mrow>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {\displaystyle n(n+\alpha +\beta +1)y(x)=B(x)y(x+1)-\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}}</annotation>
  </semantics>
</math>

SVG (9.586 KB / 3.56 KB) :

PNG (0 B / 8 B) :

{\displaystyle n(n+\alpha +\beta +1)y(x)=B(x)y(x+1)-\left[B(x)+D(x)\right]y(x)+D(x)y(x-1)}

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle\alpha}}$

${\displaystyle{\displaystyle\beta}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle B}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle B}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle D}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle D}}$

${\displaystyle{\displaystyle x}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle x}}$

MathML observations

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

General

LaTeXML (experimental; uses MathML) rendering

SVG with PNG fallback (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 with PNG fallback (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