DLMF:30.4.E6 (Q8850)

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Language	Label	Description	Also known as
English	DLMF:30.4.E6	No description defined

Statements

Defining formula

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

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DLMF:30.4.E6

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Defining formula

{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5adec

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Defining formula

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

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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Defining formula

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

C30.S4.SS1.m1addec

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Defining formula

{\displaystyle{\displaystyle x}}

C30.S1.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle m}}

C30.S1.XMD4.m1edec

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Defining formula

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

C30.S1.XMD5.m1edec

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Defining formula

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

C30.S2.XMD3.m1ddec

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