Laguerre-Hahn orthogonal polynomials on the real line

Detalhes bibliográficos
Autor(a) principal: Rebocho, M. N.
Data de Publicação: 2020
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/9028
Resumo: A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coeffcients - the so-called Laguerre-Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential equations for the recurrence coeffcients, and distributional equations for the corresponding linear functionals.
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spelling Laguerre-Hahn orthogonal polynomials on the real lineOrthogonal polynomialsStieltjes functionLaguerre-Hahn classDiscrete Painlev e equationsMatrix Sylvester equationsA survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coeffcients - the so-called Laguerre-Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential equations for the recurrence coeffcients, and distributional equations for the corresponding linear functionals.uBibliorumRebocho, M. N.2020-02-05T15:23:17Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9028engLaguerre-Hahn orthogonal polynomials on the real line, Random Matrices: Theory and Applications, 8, no. 2 (2020) 2040001 (33 pages).DOI: 10.1142/S2010326320400018info: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:RCAAP2023-12-15T09:49:29Zoai:ubibliorum.ubi.pt:10400.6/9028Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:14.889613Repositório 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 Laguerre-Hahn orthogonal polynomials on the real line
title Laguerre-Hahn orthogonal polynomials on the real line
spellingShingle Laguerre-Hahn orthogonal polynomials on the real line
Rebocho, M. N.
Orthogonal polynomials
Stieltjes function
Laguerre-Hahn class
Discrete Painlev e equations
Matrix Sylvester equations
title_short Laguerre-Hahn orthogonal polynomials on the real line
title_full Laguerre-Hahn orthogonal polynomials on the real line
title_fullStr Laguerre-Hahn orthogonal polynomials on the real line
title_full_unstemmed Laguerre-Hahn orthogonal polynomials on the real line
title_sort Laguerre-Hahn orthogonal polynomials on the real line
author Rebocho, M. N.
author_facet Rebocho, M. N.
author_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Rebocho, M. N.
dc.subject.por.fl_str_mv Orthogonal polynomials
Stieltjes function
Laguerre-Hahn class
Discrete Painlev e equations
Matrix Sylvester equations
topic Orthogonal polynomials
Stieltjes function
Laguerre-Hahn class
Discrete Painlev e equations
Matrix Sylvester equations
description A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coeffcients - the so-called Laguerre-Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential equations for the recurrence coeffcients, and distributional equations for the corresponding linear functionals.
publishDate 2020
dc.date.none.fl_str_mv 2020-02-05T15:23:17Z
2020
2020-01-01T00:00:00Z
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/10400.6/9028
url http://hdl.handle.net/10400.6/9028
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Laguerre-Hahn orthogonal polynomials on the real line, Random Matrices: Theory and Applications, 8, no. 2 (2020) 2040001 (33 pages).
DOI: 10.1142/S2010326320400018
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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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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