Q-Meixner polynomials


In mathematics, the q-Meixner 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.

Orthogonality

Recurrence and difference relations

Rodrigues formula

Generating function

Relation to other polynomials