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An asymptotic formula for the Koornwinder polynomials

Authors :
Jan Felipe Van Diejen
Source :
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Artículos CONICYT, CONICYT Chile, instacron:CONICYT
Publication Year :
2005
Publisher :
Elsevier BV, 2005.

Abstract

A formula for the large-degree asymptotics of Koornwinder's multivariate Askey–Wilson polynomials is presented. In the special case of a single variable, this asymptotic formula agrees with the known leading asymptotics of the Askey–Wilson polynomials determined by Ismail and Wilson.

Subjects

Subjects :
Computational Mathematics
Mathematics::Quantum Algebra
High Energy Physics::Lattice
Applied Mathematics
Mathematics::Classical Analysis and ODEs
(Multivariate) Orthogonal Polynomials
Asymptotics

Details

ISSN :
03770427
Volume :
178
Issue :
1-2
Database :
OpenAIRE
Journal :
Journal of Computational and Applied Mathematics
Accession number :
edsair.doi.dedup.....c5589c8318323ad4592f83cf734b41d2
Full Text :
https://doi.org/10.1016/j.cam.2004.04.018
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