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https://hdl.handle.net/10316/11309
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. | URI: | https://hdl.handle.net/10316/11309 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Characterizations of Laguerre-Hahn.pdf | 153.94 kB | Adobe PDF | View/Open |
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