Title

Q-Difference Operators For Orthogonal Polynomials

Keywords

Degree raising and lowering operators; Orthogonal polynomials; q-difference equations; q-Laguerre; Stieltjes-Wigert

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. © 2009 Elsevier B.V. All rights reserved.

Publication Date

12-1-2009

Publication Title

Journal of Computational and Applied Mathematics

Volume

233

Issue

3

Number of Pages

749-761

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.cam.2009.02.044

Socpus ID

69649098522 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/69649098522

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