Little q-Laguerre polynomials


In mathematics, the little q-Laguerre polynomials pn or Wall polynomials Wn are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme closely related to a continued fraction studied by.
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