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Autores
Orientador(es)
Resumo(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.
Descrição
Palavras-chave
Carathéodory function Orthogonal polynomials on the unit circle Riccati differential equations Semi-classical functionals Measures on the unit circle
Contexto Educativo
Citação
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.