q-Laguerre polynomials

See also: big q-Laguerre polynomials, continuous q-Laguerre polynomials, and little q-Laguerre polynomials

In mathematics, the q-Laguerre polynomials, or generalized Stieltjes–Wigert polynomials P(α)
n(x;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme introduced by Moak 1981. Koekoek, Lesky & Swarttouw 2010 give a detailed list of their properties.

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