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DC Field | Value | Language |
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dc.contributor.author | Dimitrov, Dimitar Kolev | - |
dc.contributor.author | Kostov, Vladimir Petrov | - |
dc.date.accessioned | 2015-04-27T11:56:00Z | - |
dc.date.accessioned | 2016-10-25T20:46:59Z | - |
dc.date.available | 2015-04-27T11:56:00Z | - |
dc.date.available | 2016-10-25T20:46:59Z | - |
dc.date.issued | 2012 | - |
dc.identifier | http://link.springer.com/article/10.1007/s13163-011-0078-3 | - |
dc.identifier.citation | Revista Matemática Complutense, v. 25, p. 475-491, 2012. | - |
dc.identifier.issn | 1139-1138 | - |
dc.identifier.uri | http://hdl.handle.net/11449/122755 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/122755 | - |
dc.description.abstract | For 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.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | - |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | - |
dc.description.sponsorship | Centre National de la Recherche Scientifique (CNRS) | - |
dc.format.extent | 475-491 | - |
dc.language.iso | eng | - |
dc.source | Currículo Lattes | - |
dc.subject | Schur-Szego composition | en |
dc.subject | Entire functions | en |
dc.subject | Hyperbolic polynomials | en |
dc.subject | Laguerre-Pólya class | en |
dc.title | Schur-Szegö composition of entire functions | en |
dc.type | outro | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.contributor.institution | Université de Nice | - |
dc.description.affiliation | Universidade 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.affiliationUnesp | Universidade 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.sponsorshipId | FAPESP: 2009/13832-9 | - |
dc.description.sponsorshipId | CNPq: 305622/2009-9 | - |
dc.description.sponsorshipId | CNRS: 20682 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.relation.ispartof | Revista Matemática Complutense | - |
dc.identifier.lattes | 1681267716971253 | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
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