DLMF:14.8.E13 (Q4787)

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Language	Label	Description	Also known as
English	DLMF:14.8.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{\mu}_{\nu}\left(x\right)\sim\frac{\Gamma\left(% -\nu-\frac{1}{2}\right)}{\pi^{1/2}\Gamma\left(-\mu-\nu\right)(2x)^{\nu+1}},}}

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DLMF:14.8.E13

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{\displaystyle{\displaystyle\Re\nu<-\tfrac{1}{2}}}

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{\displaystyle{\displaystyle\Re\nu<-\tfrac{1}{2}}}

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{\displaystyle{\displaystyle\nu+\mu\neq 0,1,2,\dots}}

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