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arXiv · 2305.19954

Matrix Orthogonal Polynomials: A Riemann--Hilbert approach

Amílcar Branquinho·Ana Foulquié-Moreno·Assil Fradi·Manuel Mañas
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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.

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Amílcar Branquinho, Ana Foulquié-Moreno, Assil Fradi, Manuel Mañas. 2023-05-31. Matrix Orthogonal Polynomials: A Riemann--Hilbert approach. https://arxiv.org/abs/2305.19954

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