Branquinho, A.Rebocho, M. N.2020-02-042020-02-042009A. Branquinho and M.N. Rebocho, On differential equations for orthogonal polynomials on the unit circle, Journal of Mathematical Analysis and Applications 356 (1) (2009), 242-256.http://hdl.handle.net/10400.6/9008In 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.engCarathéodory functionOrthogonal polynomials on the unit circleRiccati differential equationsSemi-classical functionalsMeasures on the unit circlepreprint