A set of orthogonal polynomials, dual to alternative q-Charlier polynomials
Classical Analysis and ODEs
2007-05-23 v1 Spectral Theory
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.
Keywords
Cite
@article{arxiv.math/0312312,
title = {A set of orthogonal polynomials, dual to alternative q-Charlier polynomials},
author = {N. M. Atakishiyev and A. U. Klimyk},
journal= {arXiv preprint arXiv:math/0312312},
year = {2007}
}
Comments
9 pages, LaTeX