DLMF:30.8.E2 (Q8866)

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Language	Label	Description	Also known as
English	DLMF:30.8.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})=(-1)^{k}\left(n+2k+\tfrac% {1}{2}\right)\frac{(n-m+2k)!}{(n+m+2k)!}\*\int_{-1}^{1}\mathsf{Ps}^{m}_{n}% \left(x,\gamma^{2}\right)\mathsf{P}^{m}_{n+2k}\left(x\right)\mathrm{d}x.}}

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DLMF:30.8.E2

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Symbols defined

coefficients (locally)

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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Defining formula

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

C30.S4.SS1.m1aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C30.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle m}}

C30.S1.XMD4.m1adec

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Defining formula

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

C30.S1.XMD5.m1adec

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Defining formula

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

C30.S2.XMD3.m1adec

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Sitelinks

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