Formula:KLS:14.21:13

<< Formula:KLS:14.21:12

formula in q-Laguerre

Formula:KLS:14.21:14 >>

${\displaystyle{\displaystyle{\displaystyle L^{(\alpha)}_{n}\!\left(x;q\right)-q^{\alpha}(1+x)L^{(\alpha)}_{n}\!\left(qx;q\right)=(1-q^{n+1})L^{(\alpha-1)}_{n+1}\!\left(x;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle L_{n}^{(\alpha)}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:qLaguerre

Bibliography

Equation in Section 14.21 of KLS.

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<< Formula:KLS:14.21:12

formula in q-Laguerre

Formula:KLS:14.21:14 >>