Matrix Orthogonal Polynomials: A Riemann--Hilbert approach
Classical Analysis and ODEs
2023-06-01 v1
Abstract
In this work we show how to get advantage from the Riemann--Hilbert analysis in order to obtain information about the matrix orthogonal polynomials and functions of second kind associated with a weight matrix. We deduce properties for the recurrence relation coefficients from differential properties of the weight matrix. We take the matrix polynomials of Hermite, Laguerre and Jacobi type as a case study.
Cite
@article{arxiv.2305.19954,
title = {Matrix Orthogonal Polynomials: A Riemann--Hilbert approach},
author = {Amílcar Branquinho and Ana Foulquié-Moreno and Assil Fradi and Manuel Mañas},
journal= {arXiv preprint arXiv:2305.19954},
year = {2023}
}