ScalingStacks

Lemma 5.4 . [024H]

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Lemma 5.4.

For a,b,ca,b,c with Re⁡(c−a−b)>0{\rm Re}(c-a-b)>0 we have

F12​[a,b;c;1]=Γ⁡(c)​Γ​(c−a−b)Γ⁡(c−a)​Γ​(c−b).\,{}_{2}F_{1}[a,b;c;1]=\frac{\Gamma(c)\Gamma(c-a-b)}{\Gamma(c-a)\Gamma(c-b)}.

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