Formula:1246

Digital Library of Mathematical Functions ID 3.5#Ex17

${\displaystyle{\displaystyle\gamma_{n}=\dfrac{\Gamma\left(n+\alpha+1\right)\Gamma\left(n+\beta+1\right)\Gamma\left(n+\alpha+\beta+1\right)}{(2n+\alpha+\beta+1)(\Gamma\left(2n+\alpha+\beta+1\right))^{2}}2^{2n+\alpha+\beta+1}n!,}}$

Constraint(s)

${\displaystyle{\displaystyle\beta>-1}}$

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