Continuous q-Jacobi polynomials

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In mathematics, the continuous q-Jacobi polynomials P(α,β)
(x|q), introduced by Askey & Wilson (1985), 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 Pochhammer symbol.