DLMF:14.17.E1 (Q4882)

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Language	Label	Description	Also known as
English	DLMF:14.17.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\int\left(1-x^{2}\right)^{-\mu/2}\mathsf{P}^{\mu}% _{\nu}\left(x\right)\mathrm{d}x}={-\left(1-x^{2}\right)^{-(\mu-1)/2}\mathsf{P}% ^{\mu-1}_{\nu}\left(x\right)}.}}

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DLMF:14.17.E1

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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.m2adec

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Defining formula

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

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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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.m1dec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1dec

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Sitelinks

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