Monotonicity of the zeros of orthogonal polynomials through related measures

Detalhes bibliográficos
Autor(a) principal: da Silva, A. P.
Data de Publicação: 2005
Outros Autores: Ranga, A. S., Vazquez, T. G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jmaa.2005.03.028
http://hdl.handle.net/11449/33745
Resumo: Relation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the monotonicity properties of the zeros of generalized orthogonal polynomials. As examples, the Jacobi, Laguerre and Charlier polynomials are considered. (c) 2005 Elsevier B.V. All rights reserved.
id UNSP_58da9b7211577cdb3e66b00db942efb6
oai_identifier_str oai:repositorio.unesp.br:11449/33745
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Monotonicity of the zeros of orthogonal polynomials through related measuresOrthogonal polynomialsrelated measuresThree term recurrence relationsRelation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the monotonicity properties of the zeros of generalized orthogonal polynomials. As examples, the Jacobi, Laguerre and Charlier polynomials are considered. (c) 2005 Elsevier B.V. All rights reserved.Univ Estadual Paulista, IBILCE, DCCE, UNESP, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUniv São Paulo, ICMC, SCE, BR-13560970 Sao Carlos, SP, BrazilUniv Estadual Paulista, IBILCE, DCCE, UNESP, BR-15054000 Sao Jose do Rio Preto, SP, BrazilElsevier B.V.Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)da Silva, A. P.Ranga, A. S.Vazquez, T. G.2014-05-20T15:22:50Z2014-05-20T15:22:50Z2005-07-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article699-709application/pdfhttp://dx.doi.org/10.1016/j.jmaa.2005.03.028Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 307, n. 2, p. 699-709, 2005.0022-247Xhttp://hdl.handle.net/11449/3374510.1016/j.jmaa.2005.03.028WOS:000229724700023WOS000229724700023.pdf3587123309745610Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Analysis and Applications1.138info:eu-repo/semantics/openAccess2023-11-01T06:07:06Zoai:repositorio.unesp.br:11449/33745Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:34:30.090114Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Monotonicity of the zeros of orthogonal polynomials through related measures
title Monotonicity of the zeros of orthogonal polynomials through related measures
spellingShingle Monotonicity of the zeros of orthogonal polynomials through related measures
da Silva, A. P.
Orthogonal polynomials
related measures
Three term recurrence relations
title_short Monotonicity of the zeros of orthogonal polynomials through related measures
title_full Monotonicity of the zeros of orthogonal polynomials through related measures
title_fullStr Monotonicity of the zeros of orthogonal polynomials through related measures
title_full_unstemmed Monotonicity of the zeros of orthogonal polynomials through related measures
title_sort Monotonicity of the zeros of orthogonal polynomials through related measures
author da Silva, A. P.
author_facet da Silva, A. P.
Ranga, A. S.
Vazquez, T. G.
author_role author
author2 Ranga, A. S.
Vazquez, T. G.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv da Silva, A. P.
Ranga, A. S.
Vazquez, T. G.
dc.subject.por.fl_str_mv Orthogonal polynomials
related measures
Three term recurrence relations
topic Orthogonal polynomials
related measures
Three term recurrence relations
description Relation between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), is well known. We use this relation to study the monotonicity properties of the zeros of generalized orthogonal polynomials. As examples, the Jacobi, Laguerre and Charlier polynomials are considered. (c) 2005 Elsevier B.V. All rights reserved.
publishDate 2005
dc.date.none.fl_str_mv 2005-07-15
2014-05-20T15:22:50Z
2014-05-20T15:22:50Z
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/10.1016/j.jmaa.2005.03.028
Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 307, n. 2, p. 699-709, 2005.
0022-247X
http://hdl.handle.net/11449/33745
10.1016/j.jmaa.2005.03.028
WOS:000229724700023
WOS000229724700023.pdf
3587123309745610
url http://dx.doi.org/10.1016/j.jmaa.2005.03.028
http://hdl.handle.net/11449/33745
identifier_str_mv Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 307, n. 2, p. 699-709, 2005.
0022-247X
10.1016/j.jmaa.2005.03.028
WOS:000229724700023
WOS000229724700023.pdf
3587123309745610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications
1.138
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 699-709
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
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_ 1808128672922599425

Registros relacionados