Formula:KLS:14.11:01

<< Continuous q-Jacobi: Special cases

formula in Big q-Laguerre

Formula:KLS:14.11:02 >>

${\displaystyle{\displaystyle{\displaystyle P_{n}\!\left(x;a,b;q\right)=\qHyperrphis{3}{2}@@{q^{-n},0,x}{aq,bq}{q}{q}}}}$

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

${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : big ${\displaystyle{\displaystyle{\displaystyle q}}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:bigqLaguerre
${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

Bibliography

Equation in Section 14.11 of KLS.

URL links

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

<< Continuous q-Jacobi: Special cases

formula in Big q-Laguerre

Formula:KLS:14.11:02 >>