Title

q-difference operators for orthogonal polynomials

Authors

Authors

M. E. H. Ismail;P. Simeonov

Comments

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Abbreviated Journal Title

J. Comput. Appl. Math.

Keywords

Orthogonal polynomials; q-difference equations; Degree raising and; lowering operators; Stieltjes-Wigert; q-Laguerre; FREUD POLYNOMIALS; LADDER OPERATORS; EQUATIONS; DISCRIMINANTS; Mathematics, Applied

Abstract

In this work we apply a q-ladder operator approach to orthogonal polynomials arising from a class of indeterminate moment problems. We derive general representation of first and second order q-difference operators and we study the solution basis of the corresponding second order q-difference equations and its properties. The results are applied to the Stieltjes-Wigert and the q-Laguerre polynomials. (C) 2009 Elsevier B.V. All rights reserved.

Journal Title

Journal of Computational and Applied Mathematics

Volume

233

Issue/Number

3

Publication Date

1-1-2009

Document Type

Article; Proceedings Paper

Language

English

First Page

749

Last Page

761

WOS Identifier

WOS:000271346000023

ISSN

0377-0427

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