Remarks on the Vietoris sequence and corresponding convolution formulas
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , , |
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. |
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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 |
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1817543884005179393 |