DLMF:14.6.E6 (Q4748)

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Language	Label	Description	Also known as
English	DLMF:14.6.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{-m}_{\nu}\left(x\right)=\left(1-x^{2}% \right)^{-m/2}\int_{x}^{1}\!\dots\!\int_{x}^{1}P_{\nu}\left(x\right)\left(\!% \mathrm{d}x\right)^{m}.}}

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DLMF:14.6.E6

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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.m1adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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Defining formula

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

C14.S2.SS2.p2.m3aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1edec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1edec

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