The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions
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Data de Publicação: | 2019 |
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Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.6/8988 |
Resumo: | We study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogonal polynomials of class two. We show difference equations for the recurrence coefficients of the orthogonal polynomials as well as for related quantities. Some of these recurrences are identified with discrete Painlevé equations. |
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The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their ExtensionsOrthogonal polynomialsSemi-classical classFreud weightsLaguerre-Freud equationsPainlev´e equationsStieltjes functionWe study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogonal polynomials of class two. We show difference equations for the recurrence coefficients of the orthogonal polynomials as well as for related quantities. Some of these recurrences are identified with discrete Painlevé equations.Co-funded by the European Regional Development Fund through the Partnership Agreement PT2020.uBibliorumRebocho, M. N.Filipuk, Galina2020-02-04T12:12:56Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/8988engG. Filipuk and M.N. Rebocho, The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions, Bulletin of the Malaysian Mathematical Sciences Society. 2019DOI: 10.1007/s40840-019-00801-0info: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:10400.6/8988Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:14.807051Repositório 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 |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions |
title |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions |
spellingShingle |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions Rebocho, M. N. Orthogonal polynomials Semi-classical class Freud weights Laguerre-Freud equations Painlev´e equations Stieltjes function |
title_short |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions |
title_full |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions |
title_fullStr |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions |
title_full_unstemmed |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions |
title_sort |
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions |
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 Semi-classical class Freud weights Laguerre-Freud equations Painlev´e equations Stieltjes function |
topic |
Orthogonal polynomials Semi-classical class Freud weights Laguerre-Freud equations Painlev´e equations Stieltjes function |
description |
We study a large class of orthogonal polynomials, containing the semi-classical symmetric orthogonal polynomials of class two. We show difference equations for the recurrence coefficients of the orthogonal polynomials as well as for related quantities. Some of these recurrences are identified with discrete Painlevé equations. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 2019-01-01T00:00:00Z 2020-02-04T12:12:56Z |
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/10400.6/8988 |
url |
http://hdl.handle.net/10400.6/8988 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
G. Filipuk and M.N. Rebocho, The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions, Bulletin of the Malaysian Mathematical Sciences Society. 2019 DOI: 10.1007/s40840-019-00801-0 |
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 |
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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 |
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1799136385222836224 |