Deformed Laguerre-Hahn orthogonal polynomials on the real line

Detalhes bibliográficos
Autor(a) principal: Branquinho, A.
Data de Publicação: 2014
Outros Autores: 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/10400.6/9003
Resumo: We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients. We derive discrete dynamical systems, obtained as a result of deformations of the recurrence relation coefficients of the orthogonal polynomials related to the above referred Stieltjes functions.
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spelling Deformed Laguerre-Hahn orthogonal polynomials on the real lineOrthogonal polynomialsSemi-classical classMatrix Sylvester differential equationsLax pairsWe study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients. We derive discrete dynamical systems, obtained as a result of deformations of the recurrence relation coefficients of the orthogonal polynomials related to the above referred Stieltjes functions.uBibliorumBranquinho, A.Rebocho, M. N.2020-02-04T15:51:03Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9003engA. Branquinho and M.N. Rebocho, Deformed Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 233 (2014), 359-368.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:RCAAP2023-12-15T09:49:32Zoai:ubibliorum.ubi.pt:10400.6/9003Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.641691Repositório 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 Deformed Laguerre-Hahn orthogonal polynomials on the real line
title Deformed Laguerre-Hahn orthogonal polynomials on the real line
spellingShingle Deformed Laguerre-Hahn orthogonal polynomials on the real line
Branquinho, A.
Orthogonal polynomials
Semi-classical class
Matrix Sylvester differential equations
Lax pairs
title_short Deformed Laguerre-Hahn orthogonal polynomials on the real line
title_full Deformed Laguerre-Hahn orthogonal polynomials on the real line
title_fullStr Deformed Laguerre-Hahn orthogonal polynomials on the real line
title_full_unstemmed Deformed Laguerre-Hahn orthogonal polynomials on the real line
title_sort Deformed Laguerre-Hahn orthogonal polynomials on the real line
author Branquinho, A.
author_facet Branquinho, A.
Rebocho, M. N.
author_role author
author2 Rebocho, M. N.
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Branquinho, A.
Rebocho, M. N.
dc.subject.por.fl_str_mv Orthogonal polynomials
Semi-classical class
Matrix Sylvester differential equations
Lax pairs
topic Orthogonal polynomials
Semi-classical class
Matrix Sylvester differential equations
Lax pairs
description We study families of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients. We derive discrete dynamical systems, obtained as a result of deformations of the recurrence relation coefficients of the orthogonal polynomials related to the above referred Stieltjes functions.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2020-02-04T15:51:03Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/9003
url http://hdl.handle.net/10400.6/9003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv A. Branquinho and M.N. Rebocho, Deformed Laguerre-Hahn orthogonal polynomials on the real line, Applied Mathematics and Computation 233 (2014), 359-368.
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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