On differential equations for orthogonal polynomials on the unit circle

• Author(s): Branquinho, A. ; Rebocho, M. N.
• Date: 2008
• Persistent ID: http://hdl.handle.net/10316/11242
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Carathéodory function; Orthogonal polynomials on the unit circle; Riccati differential equations; Semi-classical functionals; Measures on the unit circle
• Document Type: Preprint
• Language: English

Description

In this paper we characterize sequences of orthogonal polynomials on the unit circle whose corresponding Carath´eodory function satisfies a Riccati differential equation with polynomial coefficients, in terms of second order matrix differential equations. CMUC, Department of Mathematics, University of Coimbra; FCT, Fundação para a Ciência e Tecnologia SFRH/BD/25426/2005.