DLMF:14.8.E8 (Q4782)

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Language	Label	Description	Also known as
English	DLMF:14.8.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{m}_{\nu}\left(x\right)\sim\frac{\Gamma\left(% \nu+m+1\right)}{m!\Gamma\left(\nu-m+1\right)}\left(\frac{x-1}{2}\right)^{m/2},}}

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DLMF:14.8.E8

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{\displaystyle{\displaystyle\nu\pm m\neq-1,-2,-3,\dots}}

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Defining formula

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

C5.S2.E1.m2aedec

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Defining formula

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

C14.S21.SS1.p1.m1aadec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle m}}

C14.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1gdec

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Sitelinks

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