Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions

Detalhes bibliográficos
Autor(a) principal: Branquinho, Amílcar
Data de Publicação: 2023
Outros Autores: Díaz, Juan E.F., Foulquié-Moreno, Ana, Mañas, Manuel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/38042
Resumo: Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi–Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.
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spelling Hahn multiple orthogonal polynomials of type I: hypergeometrical expressionsMultiple orthogonal polynomialsAskey schemeGeneralized hypergeometric functionsKampé de Feriet hypergeometric functionsExplicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi–Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.Elsevier2023-06-15T09:03:58Z2023-12-01T00:00:00Z2023-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/38042eng0022-247X10.1016/j.jmaa.2023.127471Branquinho, AmílcarDíaz, Juan E.F.Foulquié-Moreno, AnaMañas, Manuelinfo: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:RCAAP2024-02-22T12:14:23Zoai:ria.ua.pt:10773/38042Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:08:38.359483Repositório 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 Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
title Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
spellingShingle Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
Branquinho, Amílcar
Multiple orthogonal polynomials
Askey scheme
Generalized hypergeometric functions
Kampé de Feriet hypergeometric functions
title_short Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
title_full Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
title_fullStr Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
title_full_unstemmed Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
title_sort Hahn multiple orthogonal polynomials of type I: hypergeometrical expressions
author Branquinho, Amílcar
author_facet Branquinho, Amílcar
Díaz, Juan E.F.
Foulquié-Moreno, Ana
Mañas, Manuel
author_role author
author2 Díaz, Juan E.F.
Foulquié-Moreno, Ana
Mañas, Manuel
author2_role author
author
author
dc.contributor.author.fl_str_mv Branquinho, Amílcar
Díaz, Juan E.F.
Foulquié-Moreno, Ana
Mañas, Manuel
dc.subject.por.fl_str_mv Multiple orthogonal polynomials
Askey scheme
Generalized hypergeometric functions
Kampé de Feriet hypergeometric functions
topic Multiple orthogonal polynomials
Askey scheme
Generalized hypergeometric functions
Kampé de Feriet hypergeometric functions
description Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kampé de Fériet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi–Piñeiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-15T09:03:58Z
2023-12-01T00:00:00Z
2023-12-01
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/10773/38042
url http://hdl.handle.net/10773/38042
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-247X
10.1016/j.jmaa.2023.127471
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.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)
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
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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