BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS

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dc.contributor.authorCosta, Marisa S. [UNESP]
dc.contributor.authorGodoy, Eduardo
dc.contributor.authorLamblem, Regina L.
dc.contributor.authorSri Ranga, A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Vigo
dc.date.accessioned2014-05-20T14:01:47Z
dc.date.available2014-05-20T14:01:47Z
dc.date.issued2012-06-01
dc.description.abstractA three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered. To be precise, we consider the orthogonality properties of the sequence of polynomials {(2)Phi(1)(q(-n), q(b+1); q(-c+b-n); q,q(-c+d-1)z)}(n=0)(infinity), where 0 < q < 1 and the complex parameters b, c and d are such that b not equal -1, -2, ... , c - b + 1 not equal -1, -2, ... , Re(d) > 0 and Re(c - d + 2) > 0. Explicit expressions for the recurrence coefficients, moments, orthogonality and also asymptotic properties are given. By a special choice of the parameters, results regarding a class of Szego polynomials are also derived.en
dc.description.affiliationUniv Estadual Paulista, UNESP, IBILCE, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUniv Vigo, Dept Matemat Aplicada 2, ETSI Ind, Vigo 36310, Spain
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, IBILCE, Dept Ciencias Comp & Estat, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipEuropean Community
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.format.extent2075-2089
dc.identifierhttp://dx.doi.org/10.1090/S0002-9939-2011-11066-9
dc.identifier.citationProceedings of The American Mathematical Society. Providence: Amer Mathematical Soc, v. 140, n. 6, p. 2075-2089, 2012.
dc.identifier.doi10.1090/S0002-9939-2011-11066-9
dc.identifier.fileWOS000303970700022.pdf
dc.identifier.issn0002-9939
dc.identifier.lattes3587123309745610
dc.identifier.urihttp://hdl.handle.net/11449/21806
dc.identifier.wosWOS:000303970700022
dc.language.isoeng
dc.publisherAmer Mathematical Soc
dc.relation.ispartofProceedings of the American Mathematical Society
dc.relation.ispartofjcr0.707
dc.relation.ispartofsjr1,183
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectBasic hypergeometric functionsen
dc.subjectContinued fractionsen
dc.subjectOrthogonal Laurent polynomialsen
dc.subjectSzegö polynomialsen
dc.titleBASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALSen
dc.typeArtigo
dcterms.licensehttp://www.ams.org/publications/journals/journalsframework/aboutproc#copying
dcterms.rightsHolderAmer Mathematical Soc
unesp.author.lattes3587123309745610
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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