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dc.contributor.authorCastillo, K. [UNESP]
dc.contributor.authorGarza, L.
dc.contributor.authorMarcellán, F.
dc.identifier.citationAnalytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava, v. 9781493902583, p. 691-704.
dc.description.abstractIn this paper, we analyze a perturbation of a nontrivial probability measure dμ supported on an infinite subset on the real line, which consists on the addition of a time-dependent mass point. For the associated sequence of monic orthogonal polynomials, we study its dynamics with respect to the time parameter. In particular, we determine the time evolution of their zeros in the special case when the measure is semiclassical. We also study the dynamics of the Verblunsky coefficients, i.e., the recurrence relation coefficients of a polynomial sequence, orthogonal with respect to a nontrivial probability measure supported on the unit circle, induced from dμ through the Szego transformation.en
dc.relation.ispartofAnalytic Number Theory, Approximation Theory, and Special Functions: In Honor of Hari M. Srivastava
dc.titleOn a direct Uvarov-Chihara problem and some extensionsen
dc.typeCapítulo de livro
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidad de Colima
dc.contributor.institutionUniversidad Carlos III de Madrid
dc.description.affiliationUniversidade Estadual Paulista - UNESP
dc.description.affiliationUniversidad de Colima
dc.description.affiliationUniversidad Carlos III de Madrid
dc.description.affiliationUnespUniversidade Estadual Paulista - UNESP
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