Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure

Autores
Deaño, Alfredo; Huertas, Edmundo J.; Román, Pablo Manuel
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e.,. 1x-cxαe-xdx+Nδ(x-c), for x∈. [0, ∞), α. >. -. 1, a free parameter N∈R+ and a shift c<. 0. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as n tends to infinity.
Fil: Deaño, Alfredo. Universidad Carlos III de Madrid. Instituto de Salud; España
Fil: Huertas, Edmundo J.. Universidad Politécnica de Madrid; España
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
ASYMPTOTIC ANALYSIS
CANONICAL SPECTRAL TRANSFORMATIONS OF MEASURES
HYPERGEOMETRIC FUNCTIONS
ORTHOGONAL POLYNOMIALS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/58442
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measureDeaño, AlfredoHuertas, Edmundo J.Román, Pablo ManuelASYMPTOTIC ANALYSISCANONICAL SPECTRAL TRANSFORMATIONS OF MEASURESHYPERGEOMETRIC FUNCTIONSORTHOGONAL POLYNOMIALShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e.,. 1x-cxαe-xdx+Nδ(x-c), for x∈. [0, ∞), α. >. -. 1, a free parameter N∈R+ and a shift c<. 0. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as n tends to infinity.Fil: Deaño, Alfredo. Universidad Carlos III de Madrid. Instituto de Salud; EspañaFil: Huertas, Edmundo J.. Universidad Politécnica de Madrid; EspañaFil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaAcademic Press Inc Elsevier Science2016-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/58442Deaño, Alfredo; Huertas, Edmundo J.; Román, Pablo Manuel; Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 433; 1; 1-2016; 732-7460022-247XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2015.08.002info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X15007295info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:39:21Zoai:ri.conicet.gov.ar:11336/58442instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:39:21.542CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
title Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
spellingShingle Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
Deaño, Alfredo
ASYMPTOTIC ANALYSIS
CANONICAL SPECTRAL TRANSFORMATIONS OF MEASURES
HYPERGEOMETRIC FUNCTIONS
ORTHOGONAL POLYNOMIALS
title_short Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
title_full Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
title_fullStr Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
title_full_unstemmed Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
title_sort Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
dc.creator.none.fl_str_mv Deaño, Alfredo
Huertas, Edmundo J.
Román, Pablo Manuel
author Deaño, Alfredo
author_facet Deaño, Alfredo
Huertas, Edmundo J.
Román, Pablo Manuel
author_role author
author2 Huertas, Edmundo J.
Román, Pablo Manuel
author2_role author
author
dc.subject.none.fl_str_mv ASYMPTOTIC ANALYSIS
CANONICAL SPECTRAL TRANSFORMATIONS OF MEASURES
HYPERGEOMETRIC FUNCTIONS
ORTHOGONAL POLYNOMIALS
topic ASYMPTOTIC ANALYSIS
CANONICAL SPECTRAL TRANSFORMATIONS OF MEASURES
HYPERGEOMETRIC FUNCTIONS
ORTHOGONAL POLYNOMIALS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e.,. 1x-cxαe-xdx+Nδ(x-c), for x∈. [0, ∞), α. >. -. 1, a free parameter N∈R+ and a shift c<. 0. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as n tends to infinity.
Fil: Deaño, Alfredo. Universidad Carlos III de Madrid. Instituto de Salud; España
Fil: Huertas, Edmundo J.. Universidad Politécnica de Madrid; España
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e.,. 1x-cxαe-xdx+Nδ(x-c), for x∈. [0, ∞), α. >. -. 1, a free parameter N∈R+ and a shift c<. 0. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as n tends to infinity.
publishDate 2016
dc.date.none.fl_str_mv 2016-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/58442
Deaño, Alfredo; Huertas, Edmundo J.; Román, Pablo Manuel; Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 433; 1; 1-2016; 732-746
0022-247X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/58442
identifier_str_mv Deaño, Alfredo; Huertas, Edmundo J.; Román, Pablo Manuel; Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 433; 1; 1-2016; 732-746
0022-247X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2015.08.002
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X15007295
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.976206

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