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arXiv · 1904.01252

Multiple Askey-Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials

Jean Paul Nuwacu·Walter Van Assche
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Abstract

We first show how one can obtain Al-Salam--Chihara polynomials, continuous dual $q$-Hahn polynomials, and Askey--Wilson polynomials from the little $q$-Laguerre and the little $q$-Jacobi polynomials by using special transformations. This procedure is then extended to obtain multiple Askey--Wilson, multiple continuous dual $q$-Hahn, and multiple Al-Salam--Chihara polynomials from the multiple little $q$-Laguerre and the multiple little $q$-Jacobi polynomials.

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Jean Paul Nuwacu, Walter Van Assche. 2019-04-02. Multiple Askey-Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials. https://doi.org/10.1090/tran%2F8200

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