Jump to navigation Jump to search

General

Display information for equation id:math.63461.3 on revision:63461

* Page found: Results of Parabolic Cylinder Functions (eq math.63461.3)

(force rerendering)

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

Occurrences on the following pages:

Hash: 6df34511ec7a9193244fad1f994087e3

TeX (original user input): 

\WhittakerparaD{\nu}@{z} = \paraU@{-\tfrac{1}{2}-\nu}{z}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (3.947 KB / 852 B) :

D ν ⁡ ( z ) = U ⁡ ( - 1 2 - ν , z ) Whittaker-D 𝜈 𝑧 parabolic-U 1 2 𝜈 𝑧 {\displaystyle{\displaystyle D_{\nu}\left(z\right)=U\left(-\tfrac{1}{2}-\nu,z% \right)}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle D_{\nu}\left(z\right)=U\left(-\tfrac{1}{2}-\nu,z%&#10;\right)}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
      <mrow id="p1.1.m1.1.1.7.2" xref="p1.1.m1.1.1.1.cmml">
        <msub id="p1.1.m1.1.1.2.1.4" xref="p1.1.m1.1.1.2.1.1.cmml">
          <mi id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.1.1.cmml">D</mi>
          <mi id="p1.1.m1.1.1.2.1.3.1" xref="p1.1.m1.1.1.2.1.3.1.cmml">ν</mi>
        </msub>
        <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>
          <mi id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">z</mi>
          <mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">=</mo>
      <mrow id="p1.1.m1.1.3.9.2" xref="p1.1.m1.1.3.1.cmml">
        <mi id="p1.1.m1.1.3.2.1.2" xref="p1.1.m1.1.3.2.1.1.cmml">U</mi>
        <mo id="p1.1.m1.1.3.9.2a" xref="p1.1.m1.1.3.1.cmml">⁡</mo>
        <mrow id="p1.1.m1.1.3.9.2.1" xref="p1.1.m1.1.3.1.cmml">
          <mo id="p1.1.m1.1.3.4" xref="p1.1.m1.1.3.1.cmml">(</mo>
          <mrow id="p1.1.m1.1.3.5" xref="p1.1.m1.1.3.5.cmml">
            <mrow id="p1.1.m1.1.3.5.5" xref="p1.1.m1.1.3.5.5.cmml">
              <mo id="p1.1.m1.1.3.5.1" xref="p1.1.m1.1.3.5.1.cmml">-</mo>
              <mfrac id="p1.1.m1.1.3.5.2" xref="p1.1.m1.1.3.5.2.cmml">
                <mn id="p1.1.m1.1.3.5.2.2" xref="p1.1.m1.1.3.5.2.2.cmml">1</mn>
                <mn id="p1.1.m1.1.3.5.2.3" xref="p1.1.m1.1.3.5.2.3.cmml">2</mn>
              </mfrac>
            </mrow>
            <mo id="p1.1.m1.1.3.5.3" xref="p1.1.m1.1.3.5.3.cmml">-</mo>
            <mi id="p1.1.m1.1.3.5.4" xref="p1.1.m1.1.3.5.4.cmml">ν</mi>
          </mrow>
          <mo id="p1.1.m1.1.3.6" xref="p1.1.m1.1.3.1.cmml">,</mo>
          <mi id="p1.1.m1.1.3.7" xref="p1.1.m1.1.3.7.cmml">z</mi>
          <mo id="p1.1.m1.1.3.8" xref="p1.1.m1.1.3.1.cmml">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
        <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.m1.1.1.7.2">
          <apply id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.4">
            <csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.1.cmml" xref="p1.1.m1.1.1.2.1.2">Whittaker-D</csymbol>
            <ci id="p1.1.m1.1.1.2.1.3.1.cmml" xref="p1.1.m1.1.1.2.1.3.1">𝜈</ci>
          </apply>
          <ci id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">𝑧</ci>
        </apply>
        <apply id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.9.2">
          <csymbol cd="dlmf" id="p1.1.m1.1.3.2.1.1.cmml" xref="p1.1.m1.1.3.2.1.2">parabolic-U</csymbol>
          <apply id="p1.1.m1.1.3.5.cmml" xref="p1.1.m1.1.3.5">
            <minus id="p1.1.m1.1.3.5.3.cmml" xref="p1.1.m1.1.3.5.3"/>
            <apply id="p1.1.m1.1.3.5.5.cmml" xref="p1.1.m1.1.3.5.5">
              <minus id="p1.1.m1.1.3.5.1.cmml" xref="p1.1.m1.1.3.5.1"/>
              <apply id="p1.1.m1.1.3.5.2.cmml" xref="p1.1.m1.1.3.5.2">
                <divide id="p1.1.m1.1.3.5.2.1.cmml" xref="p1.1.m1.1.3.5.2"/>
                <cn type="integer" id="p1.1.m1.1.3.5.2.2.cmml" xref="p1.1.m1.1.3.5.2.2">1</cn>
                <cn type="integer" id="p1.1.m1.1.3.5.2.3.cmml" xref="p1.1.m1.1.3.5.2.3">2</cn>
              </apply>
            </apply>
            <ci id="p1.1.m1.1.3.5.4.cmml" xref="p1.1.m1.1.3.5.4">𝜈</ci>
          </apply>
          <ci id="p1.1.m1.1.3.7.cmml" xref="p1.1.m1.1.3.7">𝑧</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle D_{\nu}\left(z\right)=U\left(-\tfrac{1}{2}-\nu,z%
\right)}}</annotation>
  </semantics>
</math>

SVG (8.062 KB / 3.021 KB) :

{\displaystyle{\displaystyle D_{\nu}\left(z\right)=U\left(-\tfrac{1}{2}-\nu,z% \right)}}

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

MathML (0 B / 8 B) :

Failed to get svg.

PNG (0 B / 8 B) :

Failed getting PNG

[aa19b4d2892d4ac19e9c3fb3] /index.php?title=Special:FormulaInfo&pid=63461&eid=math.63461.3 MWException: TeX input is invalid.

Backtrace:

from /var/www/html/extensions/Math/src/MathRestbaseInterface.php(125)
#0 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(418): MediaWiki\Extension\Math\MathRestbaseInterface->calculateHash()
#1 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(116): MediaWiki\Extension\Math\MathRestbaseInterface->getContentRequest(string)
#2 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(250): MediaWiki\Extension\Math\MathRestbaseInterface->getContent(string)
#3 /var/www/html/extensions/Math/src/MathRenderer.php(655): MediaWiki\Extension\Math\MathRestbaseInterface->getSvg()
#4 /var/www/html/extensions/Math/src/MathMathML.php(377): MediaWiki\Extension\Math\MathRenderer->getSvg()
#5 /var/www/html/extensions/Math/src/MathMathML.php(418): MediaWiki\Extension\Math\MathMathML->correctSvgStyle(NULL)
#6 /var/www/html/extensions/Math/src/MathMathML.php(500): MediaWiki\Extension\Math\MathMathML->getFallbackImage()
#7 /var/www/html/extensions/MathSearch/includes/FormulaInfo.php(302): MediaWiki\Extension\Math\MathMathML->getHtmlOutput()
#8 /var/www/html/extensions/MathSearch/includes/FormulaInfo.php(166): FormulaInfo->DisplayRendering(string, string)
#9 /var/www/html/extensions/MathSearch/includes/FormulaInfo.php(45): FormulaInfo->DisplayInfo(string, string)
#10 /var/www/html/includes/specialpage/SpecialPage.php(690): FormulaInfo->execute(NULL)
#11 /var/www/html/includes/specialpage/SpecialPageFactory.php(1423): SpecialPage->run(NULL)
#12 /var/www/html/includes/MediaWiki.php(316): MediaWiki\SpecialPage\SpecialPageFactory->executePath(string, RequestContext)
#13 /var/www/html/includes/MediaWiki.php(911): MediaWiki->performRequest()
#14 /var/www/html/includes/MediaWiki.php(568): MediaWiki->main()
#15 /var/www/html/index.php(50): MediaWiki->run()
#16 /var/www/html/index.php(46): wfIndexMain()
#17 {main}


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Results of Parabolic Cylinder Functions page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://drmf-beta.wmflabs.org/wiki/Special:FormulaInfo"