Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle

In this paperwe characterize sequences of orthogonal polynomials on the unit circle whose Carathéodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of matrix Sylvester differential equations. For the particular case of semi-classical orthogonal polynomial...

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Bibliographic Details
Main Author: Branquinho, A. (author)
Other Authors: Rebocho, M. N. (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10400.6/9055
Country:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/9055