Slater determinants of orthogonal polynomials

Detalhes bibliográficos
Autor(a) principal: Dimitrov, Dimitar K. [UNESP]
Data de Publicação: 2016
Outros Autores: Xu, Yuan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jmaa.2015.11.039
http://hdl.handle.net/11449/161083
Resumo: The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions. (C) 2015 Elsevier Inc. All rights reserved.
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spelling Slater determinants of orthogonal polynomialsSlater determinantOrthogonal polynomialsWronskianLaplace transformThe symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions. (C) 2015 Elsevier Inc. All rights reserved.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)NSFUniv Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilUniv Oregon, Dept Math, Eugene, OR 97403 USAUniv Estadual Paulista, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP, BrazilFAPESP: 2009/13832-9FAPESP: 2014/08328-8CNPq: 307183/2013-0NSF: DMS-1510296Elsevier B.V.Universidade Estadual Paulista (Unesp)Univ OregonDimitrov, Dimitar K. [UNESP]Xu, Yuan2018-11-26T16:19:04Z2018-11-26T16:19:04Z2016-03-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1552-1572application/pdfhttp://dx.doi.org/10.1016/j.jmaa.2015.11.039Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 435, n. 2, p. 1552-1572, 2016.0022-247Xhttp://hdl.handle.net/11449/16108310.1016/j.jmaa.2015.11.039WOS:000367119200033WOS000367119200033.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Mathematical Analysis And Applicationsinfo:eu-repo/semantics/openAccess2023-12-08T06:19:13Zoai:repositorio.unesp.br:11449/161083Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-08T06:19:13Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Slater determinants of orthogonal polynomials
title Slater determinants of orthogonal polynomials
spellingShingle Slater determinants of orthogonal polynomials
Dimitrov, Dimitar K. [UNESP]
Slater determinant
Orthogonal polynomials
Wronskian
Laplace transform
title_short Slater determinants of orthogonal polynomials
title_full Slater determinants of orthogonal polynomials
title_fullStr Slater determinants of orthogonal polynomials
title_full_unstemmed Slater determinants of orthogonal polynomials
title_sort Slater determinants of orthogonal polynomials
author Dimitrov, Dimitar K. [UNESP]
author_facet Dimitrov, Dimitar K. [UNESP]
Xu, Yuan
author_role author
author2 Xu, Yuan
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Univ Oregon
dc.contributor.author.fl_str_mv Dimitrov, Dimitar K. [UNESP]
Xu, Yuan
dc.subject.por.fl_str_mv Slater determinant
Orthogonal polynomials
Wronskian
Laplace transform
topic Slater determinant
Orthogonal polynomials
Wronskian
Laplace transform
description The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions. (C) 2015 Elsevier Inc. All rights reserved.
publishDate 2016
dc.date.none.fl_str_mv 2016-03-15
2018-11-26T16:19:04Z
2018-11-26T16:19:04Z
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.2015.11.039
Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 435, n. 2, p. 1552-1572, 2016.
0022-247X
http://hdl.handle.net/11449/161083
10.1016/j.jmaa.2015.11.039
WOS:000367119200033
WOS000367119200033.pdf
url http://dx.doi.org/10.1016/j.jmaa.2015.11.039
http://hdl.handle.net/11449/161083
identifier_str_mv Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 435, n. 2, p. 1552-1572, 2016.
0022-247X
10.1016/j.jmaa.2015.11.039
WOS:000367119200033
WOS000367119200033.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of Mathematical Analysis And Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1552-1572
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_ 1799965211418951680

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