DLMF:18.10.E3 (Q5627): 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: gamma function / rank | |||
Normal rank | |||
Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2aadec |
Revision as of 15:26, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:18.10.E3 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\JacobipolyP{\alpha}{\beta}{n}@{\cos@@{\theta}}}{\JacobipolyP{\alpha}{\beta}{n}@{1}}=\frac{2\EulerGamma@{\alpha+1}}{\pi^{\frac{1}{2}}\EulerGamma@{\alpha-\beta}\EulerGamma@{\beta+\tfrac{1}{2}}}\*\int_{0}^{1}\int_{0}^{\pi}\left((\cos@@{\tfrac{1}{2}\theta})^{2}-r^{2}(\sin@@{\tfrac{1}{2}\theta})^{2}+ir\sin@@{\theta}\cos@@{\phi}\right)^{n}(1-r^{2})^{\alpha-\beta-1}r^{2\beta+1}(\sin@@{\phi})^{2\beta}\diff{\phi}\diff{r},}
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DLMF:18.10.E3
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha>\beta>-\tfrac{1}{2}}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2aadec
0 references