Title
Chaotic And Periodic Asymptotics For Q-Orthogonal Polynomials
Abstract
We derive Plancherel-Rotach asymptotic expansions for the q -1 -Hermite, q-Laguerre, and Stieltjes-Wigert polynomials using a discrete analogue of Laplace's method. 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.
Publication Date
12-1-2006
Publication Title
International Mathematics Research Notices
Volume
2006
Number of Pages
-
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1155/IMRN/2006/83274
Copyright Status
Unknown
Socpus ID
33845904116 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/33845904116
STARS Citation
Ismail, Mourad E.H. and Zhang, Ruiming, "Chaotic And Periodic Asymptotics For Q-Orthogonal Polynomials" (2006). Scopus Export 2000s. 7806.
https://stars.library.ucf.edu/scopus2000/7806