Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Riemann-Hilbert problem and matrix biorthogonal polynomials
Publication Date:	2019-03-09
Authors:	- Amílcar Branquinho - Ana Foulquié-Moreno - Manuel Mañas
Abstract:	Recently the Riemann–Hilbert problem with jumps supported on appropriate curves in the complex plane has been presented for matrix biorthogonal polynomials, in particular non–Abelian Hermite matrix biorthogonal polynomials in the real line, understood as those whose matrix of weights is a solution of a Sylvester type Pearson equation with matrix entire function coefficients. We will explore this discussion, present some achievements and consider some new examples of weights for matrix biorthogonal polynomials.
Institution:	DMUC 19-10
Online version:	http://www.mat.uc.pt...prints/eng_2019.html
Download:	Not available