In mathematics, the q-Meixner–Pollaczek 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 ：Roelof Koekoek, Hypergeometric Orthogonal Polynomials and its q-Analoques, p 460, Springer
References