Q-Charlier polynomials


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

Definition

The q-Charlier polynomials are given in terms of the basic hypergeometric function by

Orthogonality

Recurrence and difference relations

Rodrigues formula

Generating function

Relation to other polynomials