Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line

Detalhes bibliográficos
Autor(a) principal: Branquinho, A.
Data de Publicação: 2013
Outros Autores: Paiva, Anabela, Rebocho, M. N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9004
Resumo: Matrix Sylvester differential equations are introduced in the study of Laguerre-Hahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the Laguerre-Hahn orthogonal polynomials. Lax pairs are given, formed from the differential system and the recurrence relation, that yield discrete non-linear equations for the three term recurrence relation coefficients of the Laguerre-Hahn orthogonal polynomials.
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spelling Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real lineOrthogonal polynomials on the real lineStieltjes functionRiccati differential equationMatrix Sylvester differential equationsMatrix Sylvester differential equations are introduced in the study of Laguerre-Hahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the Laguerre-Hahn orthogonal polynomials. Lax pairs are given, formed from the differential system and the recurrence relation, that yield discrete non-linear equations for the three term recurrence relation coefficients of the Laguerre-Hahn orthogonal polynomials.uBibliorumBranquinho, A.Paiva, AnabelaRebocho, M. N.2020-02-04T15:54:11Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9004engA. Branquinho, A. Paiva, and M.N. Rebocho, Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 219 (17) (2013), 9118-9131.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:49:33Zoai:ubibliorum.ubi.pt:10400.6/9004Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.684946Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
title Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
spellingShingle Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
Branquinho, A.
Orthogonal polynomials on the real line
Stieltjes function
Riccati differential equation
Matrix Sylvester differential equations
title_short Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
title_full Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
title_fullStr Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
title_full_unstemmed Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
title_sort Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
author Branquinho, A.
author_facet Branquinho, A.
Paiva, Anabela
Rebocho, M. N.
author_role author
author2 Paiva, Anabela
Rebocho, M. N.
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Branquinho, A.
Paiva, Anabela
Rebocho, M. N.
dc.subject.por.fl_str_mv Orthogonal polynomials on the real line
Stieltjes function
Riccati differential equation
Matrix Sylvester differential equations
topic Orthogonal polynomials on the real line
Stieltjes function
Riccati differential equation
Matrix Sylvester differential equations
description Matrix Sylvester differential equations are introduced in the study of Laguerre-Hahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the Laguerre-Hahn orthogonal polynomials. Lax pairs are given, formed from the differential system and the recurrence relation, that yield discrete non-linear equations for the three term recurrence relation coefficients of the Laguerre-Hahn orthogonal polynomials.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
2020-02-04T15:54:11Z
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://hdl.handle.net/10400.6/9004
url http://hdl.handle.net/10400.6/9004
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv A. Branquinho, A. Paiva, and M.N. Rebocho, Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 219 (17) (2013), 9118-9131.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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