Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one

Detalhes bibliográficos
Autor(a) principal: Filipuk, Galina
Data de Publicação: 2016
Outros Autores: Rebocho, Maria das Neves
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/43966
https://doi.org/10.1080/10652469.2016.1160903
Resumo: In this paper we study recurrences for Laguerre–Hahn orthogonal polynomials of class one. It is shown for some families of such Laguerre–Hahn polynomials that the coefficients of the three term recurrence relation satisfy some forms of discrete Painlevé equations, namely dP_I and dP_IV.
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spelling Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class oneIn this paper we study recurrences for Laguerre–Hahn orthogonal polynomials of class one. It is shown for some families of such Laguerre–Hahn polynomials that the coefficients of the three term recurrence relation satisfy some forms of discrete Painlevé equations, namely dP_I and dP_IV.Taylor & Francis2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43966http://hdl.handle.net/10316/43966https://doi.org/10.1080/10652469.2016.1160903https://doi.org/10.1080/10652469.2016.1160903enghttp://dx.doi.org/10.1080/10652469.2016.1160903Filipuk, GalinaRebocho, Maria das Nevesinfo: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:RCAAP2021-06-29T10:03:12Zoai:estudogeral.uc.pt:10316/43966Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:30.639990Repositório 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 Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
title Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
spellingShingle Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
Filipuk, Galina
title_short Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
title_full Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
title_fullStr Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
title_full_unstemmed Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
title_sort Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
author Filipuk, Galina
author_facet Filipuk, Galina
Rebocho, Maria das Neves
author_role author
author2 Rebocho, Maria das Neves
author2_role author
dc.contributor.author.fl_str_mv Filipuk, Galina
Rebocho, Maria das Neves
description In this paper we study recurrences for Laguerre–Hahn orthogonal polynomials of class one. It is shown for some families of such Laguerre–Hahn polynomials that the coefficients of the three term recurrence relation satisfy some forms of discrete Painlevé equations, namely dP_I and dP_IV.
publishDate 2016
dc.date.none.fl_str_mv 2016
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/10316/43966
http://hdl.handle.net/10316/43966
https://doi.org/10.1080/10652469.2016.1160903
https://doi.org/10.1080/10652469.2016.1160903
url http://hdl.handle.net/10316/43966
https://doi.org/10.1080/10652469.2016.1160903
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.1080/10652469.2016.1160903
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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
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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
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