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Szego type polynomials and para-orthogonal polynomials

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dc.contributor.authorLamblem, R. L. [UNESP]
dc.contributor.authorMcCabe, J. H.
dc.contributor.authorPinar, M. A.
dc.contributor.authorRanga, Alagacone Sri [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv St Andrews
dc.contributor.institutionUniv Granada
dc.date.accessioned2014-05-20T15:31:14Z
dc.date.available2014-05-20T15:31:14Z
dc.date.issued2010-10-01
dc.description.abstractSzego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz determinants. Para-orthogonal polynomials are also studied without relying on any integral representation. Relation between the Toeplitz determinants of two different types of moment functionals are given. Starting from the existence of polynomials similar to para-orthogonal polynomials, sufficient conditions for the existence of Szego type polynomials are also given. Examples are provided to justify the results. (C) 2010 Elsevier B.V. All rights reserved.en
dc.description.affiliationUNESP Univ Estadual Paulista, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUniv St Andrews, Sch Math, Dept Appl Math, St Andrews KY16 9AJ, Fife, Scotland
dc.description.affiliationUniv Granada, Dept Matemat Aplicada, E-18071 Granada, Spain
dc.description.affiliationUnespUNESP Univ Estadual Paulista, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent30-41
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2010.04.066
dc.identifier.citationJournal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 370, n. 1, p. 30-41, 2010.
dc.identifier.doi10.1016/j.jmaa.2010.04.066
dc.identifier.issn0022-247X
dc.identifier.lattes3587123309745610
dc.identifier.urihttp://hdl.handle.net/11449/40425
dc.identifier.wosWOS:000278397000004
dc.language.isoeng
dc.publisherAcademic Press Inc. Elsevier B.V.
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.relation.ispartofjcr1.138
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectSzegö polynomialsen
dc.subjectPara-orthogonal polynomialsen
dc.subjectThree term recurrence relationen
dc.subjectHypergeometric functionen
dc.titleSzego type polynomials and para-orthogonal polynomialsen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderAcademic Press Inc. Elsevier B.V.
dspace.entity.typePublication
unesp.author.lattes3587123309745610[4]
unesp.author.orcid0000-0001-6210-4567[3]
unesp.author.orcid0000-0002-5124-8423[4]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática Aplicada - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas