Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
Autor(a) principal: | |
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Data de Publicação: | 2011 |
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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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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 |