DLMF:30.4.E1 (Q8845)

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Language	Label	Description	Also known as
English	DLMF:30.4.E1	No description defined

Statements

Defining formula

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

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DLMF:30.4.E1

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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.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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