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

Detalhes bibliográficos
Autor(a) principal: Rebocho, M. N.
Data de Publicação: 2018
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/10400.6/8998
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 onePainlev e equationsSemi-classical orthogonal polynomialsStieltjes functionIn 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.uBibliorumRebocho, M. N.Filipuk, Galina2020-02-04T15:19:59Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/8998engG. Filipuk and M.N. Rebocho, Differential equations for families of semi- classical orthogonal polynomials within class one, Applied Numerical Mathematics 124 (2018) 76-88.info: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:RCAAP2023-12-15T09:49:30Zoai:ubibliorum.ubi.pt:10400.6/8998Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:15.229901Repositório 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
Rebocho, M. N.
Painlev e equations
Semi-classical orthogonal polynomials
Stieltjes function
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 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 Painlev e equations
Semi-classical orthogonal polynomials
Stieltjes function
topic Painlev e equations
Semi-classical orthogonal polynomials
Stieltjes function
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
2018-01-01T00:00:00Z
2020-02-04T15:19:59Z
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/10400.6/8998
url http://hdl.handle.net/10400.6/8998
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv G. Filipuk and M.N. Rebocho, Differential equations for families of semi- classical orthogonal polynomials within class one, Applied Numerical Mathematics 124 (2018) 76-88.
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)
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