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.
The polynomials are given in terms of basic hypergeometric functions and the q-Pochhammer symbol by [1]。
( α )
α + 1
ϕ
α
i θ
− i θ