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Title: On differential equations for orthogonal polynomials on the unit circle
Authors: Branquinho, A. 
Rebocho, M. N. 
Keywords: Carathéodory function; Orthogonal polynomials on the unit circle; Riccati differential equations; Semi-classical functionals; Measures on the unit circle
Issue Date: 2008
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 08-33 (2008)
Abstract: 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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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