Title

Scaled Asymptotics For Q-Orthogonal Polynomials

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. To cite this article: M.E.H. Ismail, R. Zhang, C. R. Acad. Sci. Paris, Ser. I 344 (2007). © 2006 Académie des sciences.

Publication Date

1-15-2007

Publication Title

Comptes Rendus Mathematique

Volume

344

Issue

2

Number of Pages

71-75

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.crma.2006.11.018

Socpus ID

33846005829 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33846005829

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