Q-Bessel polynomials


In mathematics, the q-Bessel 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

Relation to other polynomials

Gallery