On differential equations for orthogonal polynomials on the unit circle

In this paper we characterize sequences of orthogonal polynomials on the unit circle whose corresponding Carathéodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of second order matrix differential equations.

Bibliographic Details
Main Author: Branquinho, A. (author)
Other Authors: Rebocho, M. N. (author)
Format: preprint
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10400.6/9008
Country:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/9008