DLMF:18.17.E37

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Math Formula Information

Formula: Failed to parse (unknown function "\ultrasphpoly"): {\displaystyle \int_{0}^{1}(1-x^{2})^{\lambda-\frac{1}{2}}\ultrasphpoly{\lambda}{n}@{x}x^{z-1}\diff{x}=\frac{\pi\,2^{1-2\lambda-z}\EulerGamma@{n+2\lambda}\EulerGamma@{z}}{n!\EulerGamma@{\lambda}\EulerGamma@{\frac{1}{2}+\frac{1}{2}n+\lambda+\frac{1}{2}z}\EulerGamma@{\frac{1}{2}+\frac{1}{2}z-\frac{1}{2}n}},}

Name: DLMF:18.17.E37

Description:

Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q5778