Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
dc.contributor.author | Marcellán, Francisco [UNESP] | |
dc.contributor.author | Rafaeli, Fernando R. [UNESP] | |
dc.contributor.institution | Universidad Carlos III de Madrid | |
dc.contributor.institution | Universidade Estadual de Campinas (UNICAMP) | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2014-05-27T11:26:06Z | |
dc.date.available | 2014-05-27T11:26:06Z | |
dc.date.issued | 2011-11-01 | |
dc.description.abstract | In 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.affiliation | Departamento de Matemáticas Escuela Politécnica Superior Universidad Carlos III de Madrid, 28911 Leganés | |
dc.description.affiliation | Instituto de Matemática Estatística e Computação Científica Universidade Estadual de Campinas, São Paulo | |
dc.description.affiliation | Departamento de Matemática Estatística e Computaçao/FCT Universidade Estadual Paulista-UNESP, 19060-900 Presidente Prudente, São Paulo | |
dc.description.affiliationUnesp | Departamento de Matemática Estatística e Computaçao/FCT Universidade Estadual Paulista-UNESP, 19060-900 Presidente Prudente, São Paulo | |
dc.format.extent | 3929-3936 | |
dc.identifier | http://dx.doi.org/10.1090/S0002-9939-2011-10806-2 | |
dc.identifier.citation | Proceedings of the American Mathematical Society, v. 139, n. 11, p. 3929-3936, 2011. | |
dc.identifier.doi | 10.1090/S0002-9939-2011-10806-2 | |
dc.identifier.file | 2-s2.0-79960792219.pdf | |
dc.identifier.issn | 0002-9939 | |
dc.identifier.scopus | 2-s2.0-79960792219 | |
dc.identifier.uri | http://hdl.handle.net/11449/72771 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the American Mathematical Society | |
dc.relation.ispartofjcr | 0.707 | |
dc.relation.ispartofsjr | 1,183 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Asymptotics | |
dc.subject | Interlacing | |
dc.subject | Laguerre orthogonal polynomials | |
dc.subject | Laguerre-Sobolev-type orthogonal polynomials | |
dc.subject | Monotonicity | |
dc.subject | Zeros | |
dc.title | Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives | en |
dc.type | Artigo | |
dcterms.license | http://www.ams.org/publications/authors/ctp | |
unesp.campus | Universidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudente | pt |
unesp.department | Matemática e Computação - FCT | pt |
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