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dc.contributor.authorLamblem, R. L.-
dc.contributor.authorMcCabe, J. H.-
dc.contributor.authorPinar, M. A.-
dc.contributor.authorRanga, Alagacone Sri-
dc.date.accessioned2014-05-20T15:31:14Z-
dc.date.accessioned2016-10-25T18:06:59Z-
dc.date.available2014-05-20T15:31:14Z-
dc.date.available2016-10-25T18:06:59Z-
dc.date.issued2010-10-01-
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.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/11449/40425-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/40425-
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.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.language.isoeng-
dc.publisherAcademic Press Inc. Elsevier B.V.-
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.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniv St Andrews-
dc.contributor.institutionUniv Granada-
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.identifier.doi10.1016/j.jmaa.2010.04.066-
dc.identifier.wosWOS:000278397000004-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofJournal of Mathematical Analysis and Applications-
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