DLMF:14.9.E13 (Q4805)

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Language	Label	Description	Also known as
English	DLMF:14.9.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{-m}_{\nu}\left(x\right)=\frac{\Gamma\left(\nu-% m+1\right)}{\Gamma\left(\nu+m+1\right)}P^{m}_{\nu}\left(x\right),}}

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DLMF:14.9.E13

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{\displaystyle{\displaystyle\nu\neq m-1,m-2,\dots}}

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Defining formula

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

C5.S2.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1ldec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1bdec

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Sitelinks

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