Orthogonal Polynomials Associated with Complementary Chain Sequences

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dc.contributor.authorBehera, K.K.
dc.contributor.authorSri Ranga, A.
dc.contributor.authorSwaminathan, A.
dc.date.accessioned2019-02-16T09:11:46Z
dc.date.available2019-02-16T09:11:46Z
dc.date.issued2016
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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. nts The authors wish to thank the anonymous referees for their constructive criticism that resulted in significant improvement of the content leading to the final version. The work of the second author was supported by funds from CNPq, Brazil (grants 475502/2013-2 and 305073/2014-1) and FAPESP, Brazil (grant 2009/13832-9).uk_UA
dc.identifier.citationOrthogonal Polynomials Associated with Complementary Chain Sequences / K.K. Behera, A. Sri Ranga, A. Swaminathan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 27 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 42C05; 33C45; 30B70
dc.identifier.otherDOI:10.3842/SIGMA.2016.075
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147841
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOrthogonal Polynomials Associated with Complementary Chain Sequencesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік