Classification of Laguerre-Hahn orthogonal polynomials of class one

Detalhes bibliográficos
Autor(a) principal: Rebocho, M. N.
Data de Publicação: 2019
Outros Autores: Filipuk, Galina
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/8986
Resumo: We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential equations with polynomial coefficients, AS0 = BS2 + CS + D, with max {deg(A); deg(B)} <= 3; deg(C) <= 2. We derive recurrences for the three-term recurrence relation coefficients of the orthogonal polynomials, including connections with some forms of discrete Painlevé equations.
id RCAP_5130b3780c27340684bb4960e38dc550
oai_identifier_str oai:ubibliorum.ubi.pt:10400.6/8986
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Classification of Laguerre-Hahn orthogonal polynomials of class oneOrthogonal polynomialsStieltjes functionLaguerre-Freud equationsPainlev´e equationsWe study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential equations with polynomial coefficients, AS0 = BS2 + CS + D, with max {deg(A); deg(B)} <= 3; deg(C) <= 2. We derive recurrences for the three-term recurrence relation coefficients of the orthogonal polynomials, including connections with some forms of discrete Painlevé equations.Co-funded by the European Regional Development Fund through the Partnership Agreement PT2020.uBibliorumRebocho, M. N.Filipuk, Galina2020-02-04T11:23:29Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/8986engG. Filipuk and M.N. Rebocho, Classification of Laguerre-Hahn orthogonal polynomials of class one, Mathematische Nachrichten. 2019; 1-19.DOI: 10.1002/mana.201800063info: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:RCAAP2023-12-15T09:49:28Zoai:ubibliorum.ubi.pt:10400.6/8986Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:14.762998Repositório 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 Classification of Laguerre-Hahn orthogonal polynomials of class one
title Classification of Laguerre-Hahn orthogonal polynomials of class one
spellingShingle Classification of Laguerre-Hahn orthogonal polynomials of class one
Rebocho, M. N.
Orthogonal polynomials
Stieltjes function
Laguerre-Freud equations
Painlev´e equations
title_short Classification of Laguerre-Hahn orthogonal polynomials of class one
title_full Classification of Laguerre-Hahn orthogonal polynomials of class one
title_fullStr Classification of Laguerre-Hahn orthogonal polynomials of class one
title_full_unstemmed Classification of Laguerre-Hahn orthogonal polynomials of class one
title_sort Classification of Laguerre-Hahn orthogonal polynomials of class one
author Rebocho, M. N.
author_facet Rebocho, M. N.
Filipuk, Galina
author_role author
author2 Filipuk, Galina
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Rebocho, M. N.
Filipuk, Galina
dc.subject.por.fl_str_mv Orthogonal polynomials
Stieltjes function
Laguerre-Freud equations
Painlev´e equations
topic Orthogonal polynomials
Stieltjes function
Laguerre-Freud equations
Painlev´e equations
description We study orthogonal polynomials related to Stieltjes functions satisfying Riccati type differential equations with polynomial coefficients, AS0 = BS2 + CS + D, with max {deg(A); deg(B)} <= 3; deg(C) <= 2. We derive recurrences for the three-term recurrence relation coefficients of the orthogonal polynomials, including connections with some forms of discrete Painlevé equations.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
2020-02-04T11:23:29Z
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/10400.6/8986
url http://hdl.handle.net/10400.6/8986
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv G. Filipuk and M.N. Rebocho, Classification of Laguerre-Hahn orthogonal polynomials of class one, Mathematische Nachrichten. 2019; 1-19.
DOI: 10.1002/mana.201800063
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
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv
_version_ 1799136385220739072

Registros relacionados