The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions

Detalhes bibliográficos
Autor(a) principal: Rebocho, M. N.
Data de Publicação: 2019
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/10400.6/8988
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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spelling 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
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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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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