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

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

2003-12-16

arxiv.org/abs/math/0312312v1

Mathematics

Classical Analysis and ODEs

9 pages, LaTeX

Scientific paper

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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