Big q-Laguerre polynomials

In mathematics, the big q-Laguerre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.

Definition
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by

$$P_n(x;a,b;q)=\frac{1}{(b^{-1}q^{-n};q)_n}{}_2\phi_1\left(q^{-n},aqx^{-1};aq;q,\frac{x}{b}\right)$$

Relation to other polynomials
Big q-Laguerre polynomials→Laguerre polynomials