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

Detalhes bibliográficos
Autor(a) principal: Marcellán, Francisco [UNESP]
Data de Publicação: 2011
Outros Autores: Rafaeli, Fernando R. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1090/S0002-9939-2011-10806-2
http://hdl.handle.net/11449/72771
Resumo: 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.
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spelling Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivativesAsymptoticsInterlacingLaguerre orthogonal polynomialsLaguerre-Sobolev-type orthogonal polynomialsMonotonicityZerosIn 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.Departamento de Matemáticas Escuela Politécnica Superior Universidad Carlos III de Madrid, 28911 LeganésInstituto de Matemática Estatística e Computação Científica Universidade Estadual de Campinas, São PauloDepartamento de Matemática Estatística e Computaçao/FCT Universidade Estadual Paulista-UNESP, 19060-900 Presidente Prudente, São PauloDepartamento de Matemática Estatística e Computaçao/FCT Universidade Estadual Paulista-UNESP, 19060-900 Presidente Prudente, São PauloUniversidad Carlos III de MadridUniversidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Marcellán, Francisco [UNESP]Rafaeli, Fernando R. [UNESP]2014-05-27T11:26:06Z2014-05-27T11:26:06Z2011-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3929-3936application/pdfhttp://dx.doi.org/10.1090/S0002-9939-2011-10806-2Proceedings of the American Mathematical Society, v. 139, n. 11, p. 3929-3936, 2011.0002-9939http://hdl.handle.net/11449/7277110.1090/S0002-9939-2011-10806-22-s2.0-799607922192-s2.0-79960792219.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the American Mathematical Society0.7071,183info:eu-repo/semantics/openAccess2024-06-19T14:32:05Zoai:repositorio.unesp.br:11449/72771Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:02:50.500826Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
title Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
spellingShingle Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
Marcellán, Francisco [UNESP]
Asymptotics
Interlacing
Laguerre orthogonal polynomials
Laguerre-Sobolev-type orthogonal polynomials
Monotonicity
Zeros
title_short Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
title_full Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
title_fullStr Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
title_full_unstemmed Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
title_sort Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
author Marcellán, Francisco [UNESP]
author_facet Marcellán, Francisco [UNESP]
Rafaeli, Fernando R. [UNESP]
author_role author
author2 Rafaeli, Fernando R. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidad Carlos III de Madrid
Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Marcellán, Francisco [UNESP]
Rafaeli, Fernando R. [UNESP]
dc.subject.por.fl_str_mv Asymptotics
Interlacing
Laguerre orthogonal polynomials
Laguerre-Sobolev-type orthogonal polynomials
Monotonicity
Zeros
topic Asymptotics
Interlacing
Laguerre orthogonal polynomials
Laguerre-Sobolev-type orthogonal polynomials
Monotonicity
Zeros
description 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.
publishDate 2011
dc.date.none.fl_str_mv 2011-11-01
2014-05-27T11:26:06Z
2014-05-27T11:26:06Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1090/S0002-9939-2011-10806-2
Proceedings of the American Mathematical Society, v. 139, n. 11, p. 3929-3936, 2011.
0002-9939
http://hdl.handle.net/11449/72771
10.1090/S0002-9939-2011-10806-2
2-s2.0-79960792219
2-s2.0-79960792219.pdf
url http://dx.doi.org/10.1090/S0002-9939-2011-10806-2
http://hdl.handle.net/11449/72771
identifier_str_mv Proceedings of the American Mathematical Society, v. 139, n. 11, p. 3929-3936, 2011.
0002-9939
10.1090/S0002-9939-2011-10806-2
2-s2.0-79960792219
2-s2.0-79960792219.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the American Mathematical Society
0.707
1,183
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 3929-3936
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129387036409856

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