Orthogonal Polynomials Associated with Complementary Chain Sequences

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
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dc.contributor.author	Behera, K.K.
dc.contributor.author	Sri Ranga, A.
dc.contributor.author	Swaminathan, A.
dc.date.accessioned	2019-02-16T09:11:46Z
dc.date.available	2019-02-16T09:11:46Z
dc.date.issued	2016
dc.identifier.citation	Orthogonal 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 42C05; 33C45; 30B70
dc.identifier.other	DOI:10.3842/SIGMA.2016.075
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147841
dc.description.abstract	Using 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.sponsorship	This 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Orthogonal Polynomials Associated with Complementary Chain Sequences	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA