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q-difference operators for orthogonal polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2009 United States Publisher:Elsevier BVJournal:Journal of Computational and Applied Mathematics, volume 233, pages 749-761 (issn: 0377-0427,

Authors: Ismail, Mourad E.H.; Simeonov, Plamen;

doi: 10.1016/j.cam.2009.02.044

q-difference operators for orthogonal polynomials

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Abstract

AbstractIn 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.

Country

United States

Related Organizations

Florida Southern College
United States
University of Central Florida
United States
University of Houston - Downtown
United States
University of Central Florida
United States

Keywords

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

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