arXiv:math/0312312 Abstract

arXiv:math/0312312 [math.CA]Abstract References Reviews Resources

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

Published 2003-12-16Version 1

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.

Comments: 9 pages, LaTeX

Categories: math.CA, math.SP

Subjects: 33D45, 47B36, 81Q10

Keywords: three-term recurrence relation, discrete orthogonality relation, dual alternative q-charlier polynomials, q-orthogonal polynomials, jacobi matrix

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