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

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.

arXiv comment9 pages, LaTeX

References in corpus (2)

• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
• Big q-Laguerre and q-Meixner polynomials and representations of the algebra U_q(su(1,1))

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• Orthogonal Polynomials from Hermitian Matrices II
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