DLMF:18.27.E16 (Q5967): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.27.E16	No description defined

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Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}L^{(\alpha)}_{n}\left(x;q\right)L% ^{(\alpha)}_{m}\left(x;q\right)\frac{x^{\alpha}}{\left(-x;q\right)_{\infty}}% \mathrm{d}x=\frac{\left(q^{\alpha+1};q\right)_{n}}{\left(q;q\right)_{n}q^{n}}h% _{0}^{(1)}\delta_{n,m},}}

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DLMF:18.27.E16

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{\displaystyle{\displaystyle\alpha>-1}}

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Defining formula

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

introduction.Sx4.p1.t1.r4.m5acdec

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Defining formula

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

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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$$q$$ -Laguerre polynomial

Defining formula

{\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x};% \NVar{q}\right)}}

C18.S27.E15.m2aadec

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