Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
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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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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 |
|
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1799133821630676992 |