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dc.contributor.authorDimitrov, Dimitar Kolev-
dc.contributor.authorKostov, Vladimir Petrov-
dc.date.accessioned2015-04-27T11:56:00Z-
dc.date.accessioned2016-10-25T20:46:59Z-
dc.date.available2015-04-27T11:56:00Z-
dc.date.available2016-10-25T20:46:59Z-
dc.date.issued2012-
dc.identifierhttp://link.springer.com/article/10.1007/s13163-011-0078-3-
dc.identifier.citationRevista Matemática Complutense, v. 25, p. 475-491, 2012.-
dc.identifier.issn1139-1138-
dc.identifier.urihttp://hdl.handle.net/11449/122755-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/122755-
dc.description.abstractFor any pair of algebraic polynomials A(x) = n k=0 n k akxk and B(x) = n k=0 n k bkxk, their Schur-Szego composition is defined by ˝ (A ∗ n B)(x) = n k=0 n k akbkxk. Motivated by some recent results which show that every polynomial P(x) of degree n with P(−1) = 0 can be represented as Ka1 ∗ n ··· ∗ n Kan−1 with Ka := (x + 1)n−1(x + a), we introduce the notion of Schur-Szego composition of ˝ formal power series and study its properties in the case when the series represents an entire function. We also concentrate on the special case of composition of functions of the form exP(x), where P(x) is an algebraic polynomial and investigate its properties in detail.en
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
dc.description.sponsorshipCentre National de la Recherche Scientifique (CNRS)-
dc.format.extent475-491-
dc.language.isoeng-
dc.sourceCurrículo Lattes-
dc.subjectSchur-Szego compositionen
dc.subjectEntire functionsen
dc.subjectHyperbolic polynomialsen
dc.subjectLaguerre-Pólya classen
dc.titleSchur-Szegö composition of entire functionsen
dc.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniversité de Nice-
dc.description.affiliationUniversidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jd Nazareth, CEP 15054000, SP, Brasil-
dc.description.affiliationUnespUniversidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jd Nazareth, CEP 15054000, SP, Brasil-
dc.description.sponsorshipIdFAPESP: 2009/13832-9-
dc.description.sponsorshipIdCNPq: 305622/2009-9-
dc.description.sponsorshipIdCNRS: 20682-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofRevista Matemática Complutense-
dc.identifier.lattes1681267716971253-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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