In mathematics, the q-Laguerre polynomials, or generalized Stieltjes–Wigert polynomials P(x;q) 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.
References