Slater determinants of orthogonal polynomials
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
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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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:29462024-08-05T19:45:45.758114Repositório 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_ |
1808129115684864000 |