Orthogonal polynomials associated with complementary chain sequences

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dc.contributor.authorBehera, Kiran Kumar
dc.contributor.authorSri Ranga, A. [UNESP]
dc.contributor.authorSwaminathan, A.
dc.contributor.institutionIndian Institute of Technology Roorkee
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:05:28Z
dc.date.available2018-12-11T17:05:28Z
dc.date.issued2016-07-27
dc.description.abstractUsing the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary chain sequences and the corresponding Verblunsky coefficients, the para-orthogonal polynomials and the associated Szegő polynomials are analyzed. Two illustrations, one involving Gaussian hypergeometric functions and the other involving Carathéodory functions are also provided. A connection between these two illustrations by means of complementary chain sequences is also observed.en
dc.description.affiliationDepartment of Mathematics Indian Institute of Technology Roorkee
dc.description.affiliationDepartamento de Matemática Aplicada IBILCE UNESP-Univ. Estadual Paulista
dc.description.affiliationUnespDepartamento de Matemática Aplicada IBILCE UNESP-Univ. Estadual Paulista
dc.identifierhttp://dx.doi.org/10.3842/SIGMA.2016.075
dc.identifier.citationSymmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 12.
dc.identifier.doi10.3842/SIGMA.2016.075
dc.identifier.issn1815-0659
dc.identifier.scopus2-s2.0-84984851185
dc.identifier.urihttp://hdl.handle.net/11449/173434
dc.language.isoeng
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
dc.relation.ispartofsjr0,712
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectCarathéodory functions
dc.subjectChain sequences
dc.subjectContinued fractions
dc.subjectHypergeometric functions
dc.subjectOrthogonal polynomials
dc.subjectRecurrence relation
dc.subjectVerblunsky coefficients
dc.titleOrthogonal polynomials associated with complementary chain sequencesen
dc.typeArtigo

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