Continuous q-Laguerre polynomials

Continuous q-Laguerre polynomials

In mathematics, the continuous q-Laguerre polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.

Contents

Definition

The polynomials are given in terms of basic hypergeometric functions and the Pochhammer symbol by

\displaystyle

Orthogonality

Recurrence and difference relations

Rodrigues formula

Generating function

Relation to other polynomials

References


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