DLMF:16.15.E4 (Q5266): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| Property / Symbols used | |||
| Property / Symbols used: fourth Appell function / rank | |||
Normal rank | |||
| Property / Symbols used: fourth Appell function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AppellF{4}@{\NVar{\alpha}}{\NVar{\beta}}{\NVar{\gamma}}{\NVar{\gamma^{\prime}% }}{\NVar{x}}{\NVar{y}}}\AppellF{4}@{\NVar{\alpha}}{\NVar{\beta}}{\NVar{\gamma}}{\NVar{\gamma^{\prime}% }}{\NVar{x}}{\NVar{y}} | |||
| Property / Symbols used: fourth Appell function / qualifier | |||
xml-id: C16.S13.E4.m2adec | |||
Revision as of 14:41, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:16.15.E4 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AppellF{4}@{\alpha}{\beta}{\gamma}{\gamma^{\prime}}{x(1-y)}{y(1-x)}=\frac{\EulerGamma@{\gamma}\EulerGamma@{\gamma^{\prime}}}{\EulerGamma@{\alpha}\EulerGamma@{\beta}\EulerGamma@{\gamma-\alpha}\EulerGamma@{\gamma^{\prime}-\beta}}\int_{0}^{1}\!\!\!\int_{0}^{1}\frac{u^{\alpha-1}v^{\beta-1}(1-u)^{\gamma-\alpha-1}(1-v)^{\gamma^{\prime}-\beta-1}}{(1-ux)^{\gamma+\gamma^{\prime}-\alpha-1}(1-vy)^{\gamma+\gamma^{\prime}-\beta-1}(1-ux-vy)^{\alpha+\beta-\gamma-\gamma^{\prime}+1}}\diff{u}\diff{v},}
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DLMF:16.15.E4
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{\gamma}>\realpart@@{\alpha}>0}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{\gamma^{\prime}}>\realpart@@{\beta}>0}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AppellF{4}@{\NVar{\alpha}}{\NVar{\beta}}{\NVar{\gamma}}{\NVar{\gamma^{\prime}% }}{\NVar{x}}{\NVar{y}}}
C16.S13.E4.m2adec
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