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A set of orthogonal polynomials, dual to alternative q-Charlier polynomials

N. M. Atakishiyev·A. U. Klimyk
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Abstract

The aim of this paper is to derive (by using two operators, representable by a Jacobi matrix) a family of q-orthogonal polynomials, which turn to be dual to alternative q-Charlier polynomials. A discrete orthogonality relation and a three-term recurrence relation for these dual polynomials are explicitly obtained. The completeness property of dual alternative q-Charlier polynomials is also established.

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BibTeXRIS

N. M. Atakishiyev, A. U. Klimyk. 2003-12-16. A set of orthogonal polynomials, dual to alternative q-Charlier polynomials. https://arxiv.org/abs/math/0312312

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