Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives

dc.contributor.authorMarcellán, Francisco [UNESP]
dc.contributor.authorRafaeli, Fernando R. [UNESP]
dc.contributor.institutionUniversidad Carlos III de Madrid
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:26:06Z
dc.date.available2014-05-27T11:26:06Z
dc.date.issued2011-11-01
dc.description.abstractIn this paper we analyze the location of the zeros of polynomials orthogonal with respect to the inner product where α >-1, N ≥ 0, and j ∈ N. In particular, we focus our attention on their interlacing properties with respect to the zeros of Laguerre polynomials as well as on the monotonicity of each individual zero in terms of the mass N. Finally, we give necessary and sufficient conditions in terms of N in order for the least zero of any Laguerre-Sobolev-type orthogonal polynomial to be negative. © 2011 American Mathematical Society.en
dc.description.affiliationDepartamento de Matemáticas Escuela Politécnica Superior Universidad Carlos III de Madrid, 28911 Leganés
dc.description.affiliationInstituto de Matemática Estatística e Computação Científica Universidade Estadual de Campinas, São Paulo
dc.description.affiliationDepartamento de Matemática Estatística e Computaçao/FCT Universidade Estadual Paulista-UNESP, 19060-900 Presidente Prudente, São Paulo
dc.description.affiliationUnespDepartamento de Matemática Estatística e Computaçao/FCT Universidade Estadual Paulista-UNESP, 19060-900 Presidente Prudente, São Paulo
dc.format.extent3929-3936
dc.identifierhttp://dx.doi.org/10.1090/S0002-9939-2011-10806-2
dc.identifier.citationProceedings of the American Mathematical Society, v. 139, n. 11, p. 3929-3936, 2011.
dc.identifier.doi10.1090/S0002-9939-2011-10806-2
dc.identifier.file2-s2.0-79960792219.pdf
dc.identifier.issn0002-9939
dc.identifier.scopus2-s2.0-79960792219
dc.identifier.urihttp://hdl.handle.net/11449/72771
dc.language.isoeng
dc.relation.ispartofProceedings of the American Mathematical Society
dc.relation.ispartofjcr0.707
dc.relation.ispartofsjr1,183
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectAsymptotics
dc.subjectInterlacing
dc.subjectLaguerre orthogonal polynomials
dc.subjectLaguerre-Sobolev-type orthogonal polynomials
dc.subjectMonotonicity
dc.subjectZeros
dc.titleMonotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivativesen
dc.typeArtigo
dcterms.licensehttp://www.ams.org/publications/authors/ctp
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept
unesp.departmentMatemática e Computação - FCTpt

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