Q-Laguerre polynomials


In mathematics, the q-Laguerre polynomials, or generalized Stieltjes–Wigert polynomials P are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme introduced by. give a detailed list of their properties.

Definition

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

Orthogonality

Orthogonality is defined by the unimono nature of the polynomials' convergence at boundaries in integral form.