Differential equations for families of semi-classical orthogonal polynomials within class one

Detalhes bibliográficos
Autor(a) principal: Filipuk, Galina
Data de Publicação: 2018
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/10316/44393
https://doi.org/10.1016/j.apnum.2017.10.002
Resumo: In this paper we study families of semi-classical orthogonal polynomials within class one. We derive general second or third order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular well-known cases, e.g. related to the modified Airy and Laguerre weights, these equations can be reduced to the second and the fourth Painlevé equations.
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spelling Differential equations for families of semi-classical orthogonal polynomials within class oneIn this paper we study families of semi-classical orthogonal polynomials within class one. We derive general second or third order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular well-known cases, e.g. related to the modified Airy and Laguerre weights, these equations can be reduced to the second and the fourth Painlevé equations.Elsevier2018info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44393http://hdl.handle.net/10316/44393https://doi.org/10.1016/j.apnum.2017.10.002https://doi.org/10.1016/j.apnum.2017.10.002enghttps://doi.org/10.1016/j.apnum.2017.10.002Filipuk, 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:RCAAP2021-06-29T10:02:57Zoai:estudogeral.uc.pt:10316/44393Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:23.270776Repositório 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 Differential equations for families of semi-classical orthogonal polynomials within class one
title Differential equations for families of semi-classical orthogonal polynomials within class one
spellingShingle Differential equations for families of semi-classical orthogonal polynomials within class one
Filipuk, Galina
title_short Differential equations for families of semi-classical orthogonal polynomials within class one
title_full Differential equations for families of semi-classical orthogonal polynomials within class one
title_fullStr Differential equations for families of semi-classical orthogonal polynomials within class one
title_full_unstemmed Differential equations for families of semi-classical orthogonal polynomials within class one
title_sort Differential equations for families of semi-classical orthogonal polynomials within 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 families of semi-classical orthogonal polynomials within class one. We derive general second or third order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular well-known cases, e.g. related to the modified Airy and Laguerre weights, these equations can be reduced to the second and the fourth Painlevé equations.
publishDate 2018
dc.date.none.fl_str_mv 2018
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/10316/44393
http://hdl.handle.net/10316/44393
https://doi.org/10.1016/j.apnum.2017.10.002
https://doi.org/10.1016/j.apnum.2017.10.002
url http://hdl.handle.net/10316/44393
https://doi.org/10.1016/j.apnum.2017.10.002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.apnum.2017.10.002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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