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arXiv · 1601.06122

On inversion and connection coefficients for basic hypergeometric polynomials

Hamza Chaggara·Mohamed Mabrouk
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Abstract

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.

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Hamza Chaggara, Mohamed Mabrouk. 2015-12-12. On inversion and connection coefficients for basic hypergeometric polynomials. https://doi.org/10.1007/s11139-017-9951-0

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