Continuous q-Laguerre polynomials


In mathematics, the continuous 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 Pochhammer symbol by 。

Orthogonality

Recurrence and difference relations

Rodrigues formula

Generating function