On a class of q -orthogonal polynomials and the q -Riemann–Hilbert problem-Reference-Cited by-同舟云学术

On a class of q -orthogonal polynomials and the q -Riemann–Hilbert problem

Published:2021-10 Issue:2254 Volume:477 Page:
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Joshi Nalini¹^ORCID,Lasic Latimer Tomas¹^ORCID

Affiliation:

1. School of Mathematics and Statistics F07, University of Sydney, Sydney, New South Wales 2006, Australia

Abstract

We give an explicit solution of a q -Riemann–Hilbert problem that arises in the theory of orthogonal polynomials, prove that it is unique and deduce several properties. In particular, we describe the asymptotic behaviour of zeros in the limit as the degree of the polynomial approaches infinity.

Funder

Australian Research Council Discovery Projects

Australian Research Government Training Program

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2021.0452

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