DLMF:14.12.E2 (Q4823)

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Language	Label	Description	Also known as
English	DLMF:14.12.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{-\mu}_{\nu}\left(x\right)=\frac{\left(% 1-x^{2}\right)^{-\mu/2}}{\Gamma\left(\mu\right)}\int_{x}^{1}\mathsf{P}_{\nu}% \left(t\right)(t-x)^{\mu-1}\mathrm{d}t,}}

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DLMF:14.12.E2

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{\displaystyle{\displaystyle\Re\mu>0}}

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Defining formula

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

C5.S2.E1.m2aadec

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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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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle\mathsf{P}_{\NVar{\nu}}\left(\NVar{x}\right)=% \mathsf{P}^{0}_{\nu}\left(x\right)}}

C14.S2.SS2.p2.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1adec

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Sitelinks

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