On a class of q-orthogonal polynomials and the q-Riemann Hilbert Problem
Classical Analysis and ODEs
2021-10-18 v3
Abstract
We give an explicit solution of a q-Riemann Hilbert problem which arises in the theory of orthogonal polynomials, prove that it is unique, and deduce several properties. Our new results include the asymptotic behaviour of zeroes in the limit as the degree of the polynomial approaches infinity.
Keywords
Cite
@article{arxiv.2106.01042,
title = {On a class of q-orthogonal polynomials and the q-Riemann Hilbert Problem},
author = {Nalini Joshi and Tomas Lasic Latimer},
journal= {arXiv preprint arXiv:2106.01042},
year = {2021}
}
Comments
15 pages, 1 figure