DLMF:18.10.E4

Math Formula Information

Formula: Failed to parse (unknown function "\JacobipolyP"): {\displaystyle {\frac{\JacobipolyP{\alpha}{\alpha}{n}@{\cos@@{\theta}}}{\JacobipolyP{\alpha}{\alpha}{n}@{1}}=\frac{\ultrasphpoly{\alpha+\frac{1}{2}}{n}@{\cos@@{\theta}}}{\ultrasphpoly{\alpha+\frac{1}{2}}{n}@{1}}}=\frac{\EulerGamma@{\alpha+1}}{\pi^{\frac{1}{2}}\EulerGamma{(\alpha+\tfrac{1}{2})}}\*{\int_{0}^{\pi}(\cos@@{\theta}+i\sin@@{\theta}\cos@@{\phi})^{n}\*(\sin@@{\phi})^{2\alpha}\diff{\phi}},}

Name: DLMF:18.10.E4

Description:

Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q5628