Title

Scaled asymptotics for q-orthogonal polynomials

Authors

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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