DLMF:30.5.E4 (Q8857)

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Language	Label	Description	Also known as
English	DLMF:30.5.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathscr{W}\left\{\mathsf{Ps}^{m}_{n}\left(x,% \gamma^{2}\right),\mathsf{Qs}^{m}_{n}\left(x,\gamma^{2}\right)\right\}=\frac{(% n+m)!}{(1-x^{2})(n-m)!}A_{n}^{m}(\gamma^{2})A_{n}^{-m}(\gamma^{2})\quad(\neq 0% ),}}

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DLMF:30.5.E4

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Defining formula

{\displaystyle{\displaystyle\mathscr{W}}}

C1.S13.Px2.p1.m3adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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

C30.S5.m1acdec

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Defining formula

{\displaystyle{\displaystyle x}}

C30.S1.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle m}}

C30.S1.XMD4.m1cdec

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Defining formula

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

C30.S1.XMD5.m1cdec

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Defining formula

{\displaystyle{\displaystyle A_{n}^{m}(\gamma^{2})}}

C30.S11.XMD5.m1dec

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Defining formula

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

C30.S2.XMD3.m1bdec

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