Scaled asymptotics for q-orthogonal polynomials

    Authors

    M. E. H. Ismail;R. M. Zhang

    Comments

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    Abbreviated Journal Title

    C. R. Math.

    Keywords

    Mathematics

    Abstract

    We summarize results of a forthcoming paper on Plancherel-Rotach asymptotic expansions for the q(-1)-Hermite, q-Laguerre and Stieltjes-Wigert polynomials. The asymptotics in the bulk exhibit chaotic behavior when a certain variable is irrational. In the rational case the main terms in the asymptotic expansion involve theta functions.

    Journal Title

    Comptes Rendus Mathematique

    Volume

    344

    Issue/Number

    2

    Publication Date

    1-1-2007

    Document Type

    Article

    Language

    English

    First Page

    71

    Last Page

    75

    WOS Identifier

    WOS:000243818300001

    ISSN

    1631-073X

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