On differential equations for orthogonal polynomials on the unit circle

Branquinho, A.; Rebocho, M. N.

http://hdl.handle.net/10400.6/9008

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Authors

Branquinho, A.

Rebocho, M. N.

Abstract(s)

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.

Keywords

Carathéodory function Orthogonal polynomials on the unit circle Riccati differential equations Semi-classical functionals Measures on the unit circle

URI

http://hdl.handle.net/10400.6/9008

Citation

A. 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.