Formula:KLS:14.12:01

<< Big q-Laguerre

formula in Little q-Jacobi

Formula:KLS:14.12:02 >>

${\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x;a,b;q\right)=\qHyperrphis{2}{1}@@{q^{-n},abq^{n+1}}{aq}{q}{qx}}}}$

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

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

Bibliography

Equation in Section 14.12 of KLS.

URL links

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

<< Big q-Laguerre

formula in Little q-Jacobi

Formula:KLS:14.12:02 >>