Remarks on the Vietoris sequence and corresponding convolution formulas

Detalhes bibliográficos
Autor(a) principal: Cação, Isabel
Data de Publicação: 2023
Outros Autores: Falcão, M. Irene, Malonek, Helmuth R., Miranda, Fernando, Tomaz, Graça
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/40059
Resumo: In this paper we consider the so-called Vietoris sequence, a sequence of rational numbers of the form ck=12k(k⌊k2⌋), k= 0, 1, ⋯. This sequence plays an important role in many applications and has received a lot of attention over the years. In this work we present the main properties of the Vietoris sequence, having in mind its role in the context of hypercomplex function theory. Properties and patterns of the convolution triangles associated with (ck)k are also presented.
id RCAP_ac997b92fa5eda9a9f95739d6c8dc570
oai_identifier_str oai:ria.ua.pt:10773/40059
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Remarks on the Vietoris sequence and corresponding convolution formulasSequencesCentral binomial coefficientsConvolution trianglesClifford AlgebraIn this paper we consider the so-called Vietoris sequence, a sequence of rational numbers of the form ck=12k(k⌊k2⌋), k= 0, 1, ⋯. This sequence plays an important role in many applications and has received a lot of attention over the years. In this work we present the main properties of the Vietoris sequence, having in mind its role in the context of hypercomplex function theory. Properties and patterns of the convolution triangles associated with (ck)k are also presented.Springer2024-01-11T10:34:32Z2023-06-23T00:00:00Z2023-06-23conference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/40059eng978-3-031-37104-210.1007/978-3-031-37105-9_45Cação, IsabelFalcão, M. IreneMalonek, Helmuth R.Miranda, FernandoTomaz, Graçainfo: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:RCAAP2024-05-06T04:51:00Zoai:ria.ua.pt:10773/40059Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-06T04:51Repositório 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 Remarks on the Vietoris sequence and corresponding convolution formulas
title Remarks on the Vietoris sequence and corresponding convolution formulas
spellingShingle Remarks on the Vietoris sequence and corresponding convolution formulas
Cação, Isabel
Sequences
Central binomial coefficients
Convolution triangles
Clifford Algebra
title_short Remarks on the Vietoris sequence and corresponding convolution formulas
title_full Remarks on the Vietoris sequence and corresponding convolution formulas
title_fullStr Remarks on the Vietoris sequence and corresponding convolution formulas
title_full_unstemmed Remarks on the Vietoris sequence and corresponding convolution formulas
title_sort Remarks on the Vietoris sequence and corresponding convolution formulas
author Cação, Isabel
author_facet Cação, Isabel
Falcão, M. Irene
Malonek, Helmuth R.
Miranda, Fernando
Tomaz, Graça
author_role author
author2 Falcão, M. Irene
Malonek, Helmuth R.
Miranda, Fernando
Tomaz, Graça
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Cação, Isabel
Falcão, M. Irene
Malonek, Helmuth R.
Miranda, Fernando
Tomaz, Graça
dc.subject.por.fl_str_mv Sequences
Central binomial coefficients
Convolution triangles
Clifford Algebra
topic Sequences
Central binomial coefficients
Convolution triangles
Clifford Algebra
description In this paper we consider the so-called Vietoris sequence, a sequence of rational numbers of the form ck=12k(k⌊k2⌋), k= 0, 1, ⋯. This sequence plays an important role in many applications and has received a lot of attention over the years. In this work we present the main properties of the Vietoris sequence, having in mind its role in the context of hypercomplex function theory. Properties and patterns of the convolution triangles associated with (ck)k are also presented.
publishDate 2023
dc.date.none.fl_str_mv 2023-06-23T00:00:00Z
2023-06-23
2024-01-11T10:34:32Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/40059
url http://hdl.handle.net/10773/40059
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-031-37104-2
10.1007/978-3-031-37105-9_45
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 Springer
publisher.none.fl_str_mv Springer
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
repository.mail.fl_str_mv mluisa.alvim@gmail.com
_version_ 1817543884005179393