DLMF:30.8.E1 (Q8865)

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Language	Label	Description	Also known as
English	DLMF:30.8.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{Ps}^{m}_{n}\left(x,\gamma^{2}\right)=\sum_% {k=-R}^{\infty}(-1)^{k}a^{m}_{n,k}(\gamma^{2})\mathsf{P}^{m}_{n+2k}\left(x% \right),}}

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DLMF:30.8.E1

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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\mathsf{Ps}^{\NVar{m}}_{\NVar{n}}\left(\NVar{x},% \NVar{\gamma^{2}}\right)}}

C30.S4.SS1.m1adec

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Defining formula

{\displaystyle{\displaystyle x}}

C30.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle m}}

C30.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle n\geq m}}

C30.S1.XMD5.m1dec

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Defining formula

{\displaystyle{\displaystyle\gamma^{2}}}

C30.S2.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle R=\left\lfloor(n-m)/2\right\rfloor}}

C30.S8.XMD1.m1dec

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coefficients (locally)

Defining formula

{\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}

C30.S8.XMD2.m1dec

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Sitelinks

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