Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry
Classical Analysis and ODEs
2007-06-13 v1 Mathematical Physics
math.MP
Abstract
We present a formula describing the asymptotics of a class of multivariate orthogonal polynomials with hyperoctahedral symmetry as the degree tends to infinity. The polynomials under consideration are characterized by a factorized weight function satisfying certain analyticity assumptions. As an application, the large-degree asymptotics of the Koornwinder-Macdonald BC_N-type multivariate Askey-Wilson polynomials is determined.
Cite
@article{arxiv.math/0412532,
title = {Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry},
author = {J. F. van Diejen},
journal= {arXiv preprint arXiv:math/0412532},
year = {2007}
}
Comments
13 pages, LaTeX