DLMF:14.3.E21 (Q4710)

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Language	Label	Description	Also known as
English	DLMF:14.3.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{\mu}_{\nu}\left(x\right)=\frac{2^{\mu}% \Gamma\left(1-2\mu\right)\Gamma\left(\nu+\mu+1\right)}{\Gamma\left(\nu-\mu+1% \right)\Gamma\left(1-\mu\right)\left(1-x^{2}\right)^{\mu/2}}C^{(\frac{1}{2}-% \mu)}_{\nu+\mu}\left(x\right).}}

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DLMF:14.3.E21

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Defining formula

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

C5.S2.E1.m2amdec

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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.m2addec

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Defining formula

{\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}% \right)}}

C18.S3.T1.t1.r3.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1tdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1pdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1sdec

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