DLMF:18.27.E17 (Q5968)

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Language	Label	Description	Also known as
English	DLMF:18.27.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{y=-\infty}^{\infty}L^{(\alpha)}_{n}\left(cq^% {y};q\right)L^{(\alpha)}_{m}\left(cq^{y};q\right)\frac{q^{y(\alpha+1)}}{\left(% -cq^{y};q\right)_{\infty}}=\frac{\left(q^{\alpha+1};q\right)_{n}}{\left(q;q% \right)_{n}q^{n}}h_{0}^{(2)}\delta_{n,m},}}

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DLMF:18.27.E17

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{\displaystyle{\displaystyle c>0}}

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Defining formula

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

introduction.Sx4.p1.t1.r4.m5addec

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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.m2abdec

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Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2acdec

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