DLMF:14.15.E8 (Q4854)

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Language	Label	Description	Also known as
English	DLMF:14.15.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{-\mu}_{\nu}\left(x\right)=\left(\frac{2\mu}{% \pi}\right)^{1/2}\frac{1}{\Gamma\left(\mu+1\right)}\left(\frac{1-\alpha}{1+% \alpha}\right)^{(\nu/2)+(1/4)}\*\left(1-\alpha^{2}\right)^{-\mu/2}\left(\frac{% \alpha^{2}+\eta^{2}}{\alpha^{2}\left(x^{2}-1\right)+1}\right)^{1/4}\*K_{\nu+% \frac{1}{2}}\left(\mu\eta\right)\left(1+O\left(\frac{1}{\mu}\right)\right),}}

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DLMF:14.15.E8

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2addec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2acdec

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