DLMF:14.2.E3 (Q4681): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:14.2.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{W}\left\{\mathsf{P}^{-\mu}_{\nu}\left(x% \right),\mathsf{P}^{-\mu}_{\nu}\left(-x\right)\right\}=\frac{2}{\Gamma\left(% \mu-\nu\right)\Gamma\left(\nu+\mu+1\right)\left(1-x^{2}\right)},}}

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DLMF:14.2.E3

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Defining formula

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

C5.S2.E1.m2adec

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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\mathscr{W}}}

C1.S13.Px2.p1.m3adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1bdec

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