DLMF:18.10.E3 (Q5627)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| 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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