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Autores
Orientador(es)
Resumo(s)
In this paper are derived recurrences for the reflection coefficients
of Laguerre–Hahn affine orthogonal polynomials on the unit circle,
including a form of the discrete Painlevé equations dPV . The
technique is based on the knowledge of the first-order differential
equation for the Carathéodory function, combined with a reinterpretation,
in the formalism of matrix Sylvester equations, of
compatibility conditions for the differential systems satisfied by the
polynomials.
Descrição
Palavras-chave
Hermitian linear functionals OPUC Laguerre–Hahn affine class Sylvester equations discrete Painlevé equations
Contexto Educativo
Citação
M.N. Rebocho, On Laguerre-Hahn affine orthogonal polynomials on the unit circle from matrix Sylvester equations, Integral Transforms and Special Functions 27, no.2 (2016) 78-93.