DLMF:14.15.E4 (Q4850)

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Language	Label	Description	Also known as
English	DLMF:14.15.E4	No description defined

Statements

Defining formula

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

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DLMF:14.15.E4

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order not exceeding

Defining formula

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

C2.S1.E3.m2acdec

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Defining formula

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

C5.S2.E1.m2abdec

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Ferrers function of the first kind

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E1.m2aadec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1cdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1cdec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C14.S15.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle p}}

C14.S15.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C14.S15.XMD5.m1dec

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Sitelinks

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