Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations: a Riemann–Hilbert problem perspective

In this paper we use the Riemann–Hilbert problem, with jumps supported on appropriate curves in the complex plane, for matrix biorthogonal polynomials and apply it to find Sylvester systems of differential equations for the orthogonal polynomials and its second kind functions as well. For this aim,...

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Bibliographic Details
Main Author: Branquinho, Amílcar (author)
Other Authors: Moreno, Ana Foulquié (author), Mañas, Manuel (author)
Format: article
Language:eng
Published: 2023
Subjects:
Online Access:http://hdl.handle.net/10773/29320
Country:Portugal
Oai:oai:ria.ua.pt:10773/29320