Formula:6664

Digital Library of Mathematical Functions ID 18.27.E17

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \sum_{y=-\infty}^{\infty}\qLaguerrepolyL{\alpha}{n}@{cq^{y}}{q}\qLaguerrepolyL{\alpha}{m}@{cq^{y}}{q}\frac{q^{y(\alpha+1)}}{\qPochhammer{-cq^{y}}{q}{\infty}}=\frac{\qPochhammer{q^{\alpha+1}}{q}{n}}{\qPochhammer{q}{q}{n}q^{n}}h_{0}^{(2)}\Kroneckerdelta{n}{m},}

Constraint(s)

${\displaystyle{\displaystyle c>0}}$

Symbols List

• ${\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}$:
• ${\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x};\NVar{q}\right)}}$: $$q$$ -Laguerre polynomial
• ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle q}}$: real variable
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle h_{n}}}$: 18.2.E5
 

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