DLMF:18.17.E33
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Math Formula Information
Formula: Failed to parse (unknown function "\JacobipolyP"): {\displaystyle \int_{-1}^{1}e^{-(x+1)z}\JacobipolyP{\alpha}{\beta}{n}@{x}(1-x)^{\alpha}(1+x)^{\beta}\diff{x}=\frac{(-1)^{n}2^{\alpha+\beta+n+1}\EulerGamma@{\alpha+n+1}\EulerGamma@{\beta+n+1}}{\EulerGamma@{\alpha+\beta+2n+2}n!}z^{n}\genhyperF{1}{1}@@{\beta+n+1}{\alpha+\beta+2n+2}{-2z},}
Name: DLMF:18.17.E33
Description:
Data Source
https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q5774