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Title: Characterizations of Laguerre-Hahn affine orthogonal polynomials on the unit circle
Authors: Branquinho, A. 
Rebocho, M. N. 
Keywords: Orthogonal polynomials on the unit circle; Hermitian functionals; Measures on the unit circle; Semi-classical functionals; Carathéodory function
Issue Date: 2007
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 07-03 (2007)
Abstract: In this work we characterize a monic polynomial sequence, orthogonal with respect to a hermitian linear functional u that satisfies a functional equation D(Au) = Bu + zHL, where A,B and H are polynomials and L is the Lebesgue functional, in terms of a first order linear differential equation for the Carath´eodory function associated with u and in terms of a first order structure relation for the orthogonal polynomials.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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