Hamza Chaggara, Mohamed Mabrouk
Published 2015-12-12Version 1
In this paper, we propose a general method to express explicitly the inversion and the connection coefficients between two basic hypergeometric polynomial sets. As application, we consider some $d$-orthogonal basic hypergeometric polynomials and we derive expansion formulae corresponding to all the families within the $q$-Askey scheme.
On a new general method of summation
On affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures
Connection coefficients for classical orthogonal polynomials of several variables
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