Jump to navigation Jump to search

General

Display information for equation id:math.63460.66 on revision:63460

* Page found: Results of Struve and Related Functions (eq math.63460.66)

(force rerendering)

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

Occurrences on the following pages:

Hash: 328e28a0e773108c58f9b1f325cafc78

TeX (original user input): 

f_{\nu}(z) = \int_{0}^{z}t^{\nu}\StruveH{\nu}@{t}\diff{t}

TeX (checked):

LaTeXML (experimental; uses MathML) rendering

MathML (5.741 KB / 1.089 KB) :

f ν ⁢ ( z ) = ∫ 0 z t ν ⁢ 𝐇 ν ⁡ ( t ) ⁢ d t subscript 𝑓 𝜈 𝑧 superscript subscript 0 𝑧 superscript 𝑡 𝜈 Struve-H 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle f_{\nu}(z)=\int_{0}^{z}t^{\nu}\mathbf{H}_{\nu}% \left(t\right)\mathrm{d}t}} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle f_{\nu}(z)=\int_{0}^{z}t^{\nu}\mathbf{H}_{\nu}%&#10;\left(t\right)\mathrm{d}t}}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">
      <mrow id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">
        <msub id="p1.1.m1.1.14.1.2" xref="p1.1.m1.1.14.1.2.cmml">
          <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">f</mi>
          <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">ν</mi>
        </msub>
        <mo id="p1.1.m1.1.14.1.1" xref="p1.1.m1.1.14.1.1.cmml">⁢</mo>
        <mrow id="p1.1.m1.1.14.1.3" xref="p1.1.m1.1.14.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.14.1.cmml">(</mo>
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">z</mi>
          <mo stretchy="false" id="p1.1.m1.1.5" xref="p1.1.m1.1.14.1.cmml">)</mo>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">=</mo>
      <mrow id="p1.1.m1.1.14.2" xref="p1.1.m1.1.14.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.14.2.1" xref="p1.1.m1.1.14.2.1.cmml">
          <msubsup id="p1.1.m1.1.14.2.1a" xref="p1.1.m1.1.14.2.1.cmml">
            <mo largeop="true" symmetric="true" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">∫</mo>
            <mn id="p1.1.m1.1.8.1" xref="p1.1.m1.1.8.1.cmml">0</mn>
            <mi id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">z</mi>
          </msubsup>
        </mstyle>
        <mrow id="p1.1.m1.1.14.2.2" xref="p1.1.m1.1.14.2.2.cmml">
          <msup id="p1.1.m1.1.14.2.2.2" xref="p1.1.m1.1.14.2.2.2.cmml">
            <mi id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">t</mi>
            <mi id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">ν</mi>
          </msup>
          <mo id="p1.1.m1.1.14.2.2.1" xref="p1.1.m1.1.14.2.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.12.7.2" xref="p1.1.m1.1.12.1.cmml">
            <msub id="p1.1.m1.1.12.2.1.4" xref="p1.1.m1.1.12.2.1.1.cmml">
              <mi id="p1.1.m1.1.12.2.1.2" xref="p1.1.m1.1.12.2.1.1.1.cmml">𝐇</mi>
              <mi id="p1.1.m1.1.12.2.1.3.1" xref="p1.1.m1.1.12.2.1.3.1.cmml">ν</mi>
            </msub>
            <mo id="p1.1.m1.1.12.7.2a" xref="p1.1.m1.1.12.1.cmml">⁡</mo>
            <mrow id="p1.1.m1.1.12.7.2.1" xref="p1.1.m1.1.12.1.cmml">
              <mo id="p1.1.m1.1.12.4" xref="p1.1.m1.1.12.1.cmml">(</mo>
              <mi id="p1.1.m1.1.12.5" xref="p1.1.m1.1.12.5.cmml">t</mi>
              <mo id="p1.1.m1.1.12.6" xref="p1.1.m1.1.12.1.cmml">)</mo>
            </mrow>
          </mrow>
          <mo id="p1.1.m1.1.14.2.2.1a" xref="p1.1.m1.1.14.2.2.1.cmml">⁢</mo>
          <mrow id="p1.1.m1.1.13.2" xref="p1.1.m1.1.13.1.cmml">
            <mo rspace="0pt" id="p1.1.m1.1.13.2.1.2" xref="p1.1.m1.1.13.1.1.cmml">d</mo>
            <mi id="p1.1.m1.1.13.2.2" xref="p1.1.m1.1.13.2.2.cmml">t</mi>
          </mrow>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">
        <eq id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
        <apply id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">
          <times id="p1.1.m1.1.14.1.1.cmml" xref="p1.1.m1.1.14.1.1"/>
          <apply id="p1.1.m1.1.14.1.2.cmml" xref="p1.1.m1.1.14.1.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.14.1.2.1.cmml" xref="p1.1.m1.1.14.1.2">subscript</csymbol>
            <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑓</ci>
            <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">𝜈</ci>
          </apply>
          <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝑧</ci>
        </apply>
        <apply id="p1.1.m1.1.14.2.cmml" xref="p1.1.m1.1.14.2">
          <apply id="p1.1.m1.1.14.2.1.cmml" xref="p1.1.m1.1.14.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.14.2.1.1.cmml" xref="p1.1.m1.1.14.2.1">superscript</csymbol>
            <apply id="p1.1.m1.1.14.2.1.2.cmml" xref="p1.1.m1.1.14.2.1">
              <csymbol cd="ambiguous" id="p1.1.m1.1.14.2.1.2.1.cmml" xref="p1.1.m1.1.14.2.1">subscript</csymbol>
              <int id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
              <cn type="integer" id="p1.1.m1.1.8.1.cmml" xref="p1.1.m1.1.8.1">0</cn>
            </apply>
            <ci id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">𝑧</ci>
          </apply>
          <apply id="p1.1.m1.1.14.2.2.cmml" xref="p1.1.m1.1.14.2.2">
            <times id="p1.1.m1.1.14.2.2.1.cmml" xref="p1.1.m1.1.14.2.2.1"/>
            <apply id="p1.1.m1.1.14.2.2.2.cmml" xref="p1.1.m1.1.14.2.2.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.14.2.2.2.1.cmml" xref="p1.1.m1.1.14.2.2.2">superscript</csymbol>
              <ci id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10">𝑡</ci>
              <ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">𝜈</ci>
            </apply>
            <apply id="p1.1.m1.1.12.1.cmml" xref="p1.1.m1.1.12.7.2">
              <apply id="p1.1.m1.1.12.2.1.1.cmml" xref="p1.1.m1.1.12.2.1.4">
                <csymbol cd="dlmf" id="p1.1.m1.1.12.2.1.1.1.cmml" xref="p1.1.m1.1.12.2.1.2">Struve-H</csymbol>
                <ci id="p1.1.m1.1.12.2.1.3.1.cmml" xref="p1.1.m1.1.12.2.1.3.1">𝜈</ci>
              </apply>
              <ci id="p1.1.m1.1.12.5.cmml" xref="p1.1.m1.1.12.5">𝑡</ci>
            </apply>
            <apply id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.2">
              <diff id="p1.1.m1.1.13.1.1.cmml" xref="p1.1.m1.1.13.2.1.2"/>
              <ci id="p1.1.m1.1.13.2.2.cmml" xref="p1.1.m1.1.13.2.2">𝑡</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle f_{\nu}(z)=\int_{0}^{z}t^{\nu}\mathbf{H}_{\nu}%
\left(t\right)\mathrm{d}t}}</annotation>
  </semantics>
</math>

SVG (8.67 KB / 3.064 KB) :

{\displaystyle{\displaystyle f_{\nu}(z)=\int_{0}^{z}t^{\nu}\mathbf{H}_{\nu}% \left(t\right)\mathrm{d}t}}

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

[81e52e4531f1af6c8f09c8b6] /index.php?title=Special:FormulaInfo&pid=63460&eid=math.63460.66 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 Struve and Related 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"