q-difference operators for orthogonal polynomials

    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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