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dc.contributor.authorBehera, Kiran Kumar
dc.contributor.authorSri Ranga, A. [UNESP]
dc.contributor.authorSwaminathan, A.
dc.identifier.citationSymmetry, Integrability and Geometry: Methods and Applications (SIGMA), v. 12.
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.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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.contributor.institutionIndian Institute of Technology Roorkee
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
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
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