DLMF:14.18.E8 (Q4909)

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Language	Label	Description	Also known as
English	DLMF:14.18.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}_{\nu}\left(-x\right)=\frac{\sin\left(% \nu\pi\right)}{\pi}\sum_{n=0}^{\infty}\frac{2n+1}{(\nu-n)(\nu+n+1)}\mathsf{P}_% {n}\left(x\right),}}

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DLMF:14.18.E8

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{\displaystyle{\displaystyle\nu\notin\mathbb{Z}}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{Z}}}

introduction.Sx4.p2.t1.r20.m2adec

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Defining formula

{\displaystyle{\displaystyle\notin}}

introduction.Sx4.p1.t1.r11.m2adec

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Defining formula

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

C14.S2.SS2.p2.m2acdec

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Sitelinks

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