Jump to navigation Jump to search

General

Display information for equation id:math.3375.0 on revision:3375

* Page found: Formula:KLS:09.02:31 (eq math.3375.0)

(force rerendering)

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

Occurrences on the following pages:

Hash: 7db061d35bdc1c7fbe1a4f785360d74b

TeX (original user input): 

{\displaystyle 
\lim_{\gamma\rightarrow\infty}
\Racah{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{-\beta-N-1}=\Hahn{n}@{x}{\alpha}{\beta}{N}
}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (7.429 KB / 1.296 KB) :

lim γ → ∞ ⁡ \Racah ⁢ n ⁢ @ ⁢ λ ⁢ ( x ) ⁢ α ⁢ β ⁢ γ - β - N - 1 = \Hahn ⁢ n ⁢ @ ⁢ x ⁢ α ⁢ β ⁢ N subscript → 𝛾 \Racah 𝑛 @ 𝜆 𝑥 𝛼 𝛽 𝛾 𝛽 𝑁 1 \Hahn 𝑛 @ 𝑥 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle{\displaystyle\lim_{\gamma\rightarrow\infty}\Racah% {n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{-\beta-N-1}=\Hahn{n}@{x}{\alpha}{\beta% }{N}}}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle{\displaystyle\lim_{\gamma\rightarrow\infty}\Racah%&#10;{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{-\beta-N-1}=\Hahn{n}@{x}{\alpha}{\beta%&#10;}{N}}}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
      <mrow id="p1.1.m1.1.27.1" xref="p1.1.m1.1.27.1.cmml">
        <mrow id="p1.1.m1.1.27.1.1" xref="p1.1.m1.1.27.1.1.cmml">
          <munder id="p1.1.m1.1.27.1.1.1" xref="p1.1.m1.1.27.1.1.1.cmml">
            <mo movablelimits="false" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">lim</mo>
            <mrow id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
              <mi id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">γ</mi>
              <mo id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">→</mo>
              <mi mathvariant="normal" id="p1.1.m1.1.2.1.3" xref="p1.1.m1.1.2.1.3.cmml">∞</mi>
            </mrow>
          </munder>
          <mo id="p1.1.m1.1.27.1.1a" xref="p1.1.m1.1.27.1.1.cmml">⁡</mo>
          <mrow id="p1.1.m1.1.27.1.1.2" xref="p1.1.m1.1.27.1.1.2.cmml">
            <merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.3" xref="p1.1.m1.1.3b.cmml">
              <mtext id="p1.1.m1.1.3a" xref="p1.1.m1.1.3b.cmml">\Racah</mtext>
            </merror>
            <mo id="p1.1.m1.1.27.1.1.2.1" xref="p1.1.m1.1.27.1.1.2.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">n</mi>
            <mo id="p1.1.m1.1.27.1.1.2.1a" xref="p1.1.m1.1.27.1.1.2.1.cmml">⁢</mo>
            <mi mathvariant="normal" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">@</mi>
            <mo id="p1.1.m1.1.27.1.1.2.1b" xref="p1.1.m1.1.27.1.1.2.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">λ</mi>
            <mo id="p1.1.m1.1.27.1.1.2.1c" xref="p1.1.m1.1.27.1.1.2.1.cmml">⁢</mo>
            <mrow id="p1.1.m1.1.27.1.1.2.2" xref="p1.1.m1.1.27.1.1.2.cmml">
              <mo stretchy="false" id="p1.1.m1.1.7" xref="p1.1.m1.1.27.1.1.2.cmml">(</mo>
              <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">x</mi>
              <mo stretchy="false" id="p1.1.m1.1.9" xref="p1.1.m1.1.27.1.1.2.cmml">)</mo>
            </mrow>
            <mo id="p1.1.m1.1.27.1.1.2.1d" xref="p1.1.m1.1.27.1.1.2.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">α</mi>
            <mo id="p1.1.m1.1.27.1.1.2.1e" xref="p1.1.m1.1.27.1.1.2.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">β</mi>
            <mo id="p1.1.m1.1.27.1.1.2.1f" xref="p1.1.m1.1.27.1.1.2.1.cmml">⁢</mo>
            <mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">γ</mi>
          </mrow>
        </mrow>
        <mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">-</mo>
        <mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">β</mi>
        <mo id="p1.1.m1.1.13a" xref="p1.1.m1.1.13.cmml">-</mo>
        <mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">N</mi>
        <mo id="p1.1.m1.1.13b" xref="p1.1.m1.1.13.cmml">-</mo>
        <mn id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">1</mn>
      </mrow>
      <mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">=</mo>
      <mrow id="p1.1.m1.1.27.2" xref="p1.1.m1.1.27.2.cmml">
        <merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.20" xref="p1.1.m1.1.20b.cmml">
          <mtext id="p1.1.m1.1.20a" xref="p1.1.m1.1.20b.cmml">\Hahn</mtext>
        </merror>
        <mo id="p1.1.m1.1.27.2.1" xref="p1.1.m1.1.27.2.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">n</mi>
        <mo id="p1.1.m1.1.27.2.1a" xref="p1.1.m1.1.27.2.1.cmml">⁢</mo>
        <mi mathvariant="normal" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">@</mi>
        <mo id="p1.1.m1.1.27.2.1b" xref="p1.1.m1.1.27.2.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">x</mi>
        <mo id="p1.1.m1.1.27.2.1c" xref="p1.1.m1.1.27.2.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml">α</mi>
        <mo id="p1.1.m1.1.27.2.1d" xref="p1.1.m1.1.27.2.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">β</mi>
        <mo id="p1.1.m1.1.27.2.1e" xref="p1.1.m1.1.27.2.1.cmml">⁢</mo>
        <mi id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">N</mi>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">
        <eq id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19"/>
        <apply id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27.1">
          <minus id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
          <apply id="p1.1.m1.1.27.1.1.cmml" xref="p1.1.m1.1.27.1.1">
            <apply id="p1.1.m1.1.27.1.1.1.cmml" xref="p1.1.m1.1.27.1.1.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.27.1.1.1.1.cmml" xref="p1.1.m1.1.27.1.1.1">subscript</csymbol>
              <limit id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
              <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
                <ci id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2">→</ci>
                <ci id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1">𝛾</ci>
                <infinity id="p1.1.m1.1.2.1.3.cmml" xref="p1.1.m1.1.2.1.3"/>
              </apply>
            </apply>
            <apply id="p1.1.m1.1.27.1.1.2.cmml" xref="p1.1.m1.1.27.1.1.2">
              <times id="p1.1.m1.1.27.1.1.2.1.cmml" xref="p1.1.m1.1.27.1.1.2.1"/>
              <ci id="p1.1.m1.1.3b.cmml" xref="p1.1.m1.1.3">
                <merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
                  <mtext id="p1.1.m1.1.3a.cmml" xref="p1.1.m1.1.3">\Racah</mtext>
                </merror>
              </ci>
              <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑛</ci>
              <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">@</ci>
              <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝜆</ci>
              <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝑥</ci>
              <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝛼</ci>
              <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">𝛽</ci>
              <ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝛾</ci>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝛽</ci>
          <ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑁</ci>
          <cn type="integer" id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">1</cn>
        </apply>
        <apply id="p1.1.m1.1.27.2.cmml" xref="p1.1.m1.1.27.2">
          <times id="p1.1.m1.1.27.2.1.cmml" xref="p1.1.m1.1.27.2.1"/>
          <ci id="p1.1.m1.1.20b.cmml" xref="p1.1.m1.1.20">
            <merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">
              <mtext id="p1.1.m1.1.20a.cmml" xref="p1.1.m1.1.20">\Hahn</mtext>
            </merror>
          </ci>
          <ci id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">𝑛</ci>
          <ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">@</ci>
          <ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">𝑥</ci>
          <ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">𝛼</ci>
          <ci id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">𝛽</ci>
          <ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">𝑁</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle{\displaystyle\lim_{\gamma\rightarrow\infty}\Racah%
{n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{-\beta-N-1}=\Hahn{n}@{x}{\alpha}{\beta%
}{N}}}}</annotation>
  </semantics>
</math>

SVG (16.113 KB / 5.402 KB) :

{\displaystyle{\displaystyle{\displaystyle\lim_{\gamma\rightarrow\infty}\Racah% {n}@{\lambda(x)}{\alpha}{\beta}{\gamma}{-\beta-N-1}=\Hahn{n}@{x}{\alpha}{\beta% }{N}}}}

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

[8fe8f3716da4279391b3ad97] /index.php?title=Special:FormulaInfo&pid=3375&eid=math.3375.0 MWException: TeX input is invalid.

Backtrace:

from /var/www/html/extensions/Math/src/MathRestbaseInterface.php(126)
#0 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(419): MediaWiki\Extension\Math\MathRestbaseInterface->calculateHash()
#1 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(117): MediaWiki\Extension\Math\MathRestbaseInterface->getContentRequest(string)
#2 /var/www/html/extensions/Math/src/MathRestbaseInterface.php(251): MediaWiki\Extension\Math\MathRestbaseInterface->getContent(string)
#3 /var/www/html/extensions/Math/src/MathRenderer.php(674): MediaWiki\Extension\Math\MathRestbaseInterface->getSvg()
#4 /var/www/html/extensions/Math/src/MathMathML.php(385): MediaWiki\Extension\Math\MathRenderer->getSvg()
#5 /var/www/html/extensions/Math/src/MathMathML.php(426): MediaWiki\Extension\Math\MathMathML->correctSvgStyle(NULL)
#6 /var/www/html/extensions/Math/src/MathMathML.php(508): 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(688): FormulaInfo->execute(NULL)
#11 /var/www/html/includes/specialpage/SpecialPageFactory.php(1418): SpecialPage->run(NULL)
#12 /var/www/html/includes/MediaWiki.php(316): MediaWiki\SpecialPage\SpecialPageFactory->executePath(string, RequestContext)
#13 /var/www/html/includes/MediaWiki.php(916): MediaWiki->performRequest()
#14 /var/www/html/includes/MediaWiki.php(570): 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 Formula:KLS:09.02:31 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"