Formula:KLS:14.21:11

<< Formula:KLS:14.21:09

formula in q-Laguerre

Formula:KLS:14.21:12 >>

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

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:14.21:09

formula in q-Laguerre

Formula:KLS:14.21:12 >>