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Connection and inversion coefficients for basic hypergeometric polynomials
Journal article   Peer reviewed

Connection and inversion coefficients for basic hypergeometric polynomials

Hamza Chaggara and Mohamed Mabrouk
The Ramanujan journal, Vol.46(1), pp.29-48
01/05/2018

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we give a closed-form expression of the inversion and the connection coefficients for general basic hypergeometric polynomial sets using some known inverse relations. We derive expansion formulas corresponding to all the families within the q-Askey scheme and we connect some d-orthogonal basic hypergeometric polynomials.

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