Formula:KLS:14.11:14

<< Formula:KLS:14.11:13

formula in Big q-Laguerre

Formula:KLS:14.11:15 >>

${\displaystyle{\displaystyle{\displaystyle\mathcal{D}_{q}P_{n}\!\left(x;a,b;q\right)=\frac{q^{-n+1}(1-q^{n})}{(1-q)(1-aq)(1-bq)}P_{n-1}\!\left(qx;aq,bq;q\right)}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathcal{D}_{q}^{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-derivative : http://drmf.wmflabs.org/wiki/Definition:qderiv
${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : big ${\displaystyle{\displaystyle{\displaystyle q}}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:bigqLaguerre

Bibliography

Equation in Section 14.11 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:14.11:13

formula in Big q-Laguerre

Formula:KLS:14.11:15 >>