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

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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.
9 pages, LaTeX

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Classical Analysis and ODEs, Spectral Theory, 33D45; 47B36; 81Q10

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http://salesiana.dossiersoluciones.com/handle/123456789/69621

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312312
 http://arxiv.org/abs/math/0312312

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arXiv