Combinatorial identities in the context of hypercomplex function theory
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/24666 |
Resumo: | Recently, the authors have shown that a certain combinatorial identity in terms of generators of quaternions is related to a particular sequence of rational numbers (Vietoris’ number sequence). This sequence appeared for the first time in a theorem by Vietoris (1958) and plays an important role in harmonic analysis and in the theory of stable holomorphic functions in the unit disc. We present a generalization of that combinatorial identity involving an arbitrary number of generators of a Cli ord algebra. The result reveals new insights in combinatorial phenomena in the context of hypercomplex function theory. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
spelling |
Combinatorial identities in the context of hypercomplex function theoryRecently, the authors have shown that a certain combinatorial identity in terms of generators of quaternions is related to a particular sequence of rational numbers (Vietoris’ number sequence). This sequence appeared for the first time in a theorem by Vietoris (1958) and plays an important role in harmonic analysis and in the theory of stable holomorphic functions in the unit disc. We present a generalization of that combinatorial identity involving an arbitrary number of generators of a Cli ord algebra. The result reveals new insights in combinatorial phenomena in the context of hypercomplex function theory.AIP Publishing2018-11-19T11:19:00Z2018-07-10T00:00:00Z2018-07-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/24666eng0094-243X10.1063/1.5043643Cação, IsabelFalcão, M. I.Malonek, Helmuth R.info: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:RCAAP2024-05-06T04:17:43Zoai:ria.ua.pt:10773/24666Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-06T04:17:43Repositório 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 |
Combinatorial identities in the context of hypercomplex function theory |
title |
Combinatorial identities in the context of hypercomplex function theory |
spellingShingle |
Combinatorial identities in the context of hypercomplex function theory Cação, Isabel |
title_short |
Combinatorial identities in the context of hypercomplex function theory |
title_full |
Combinatorial identities in the context of hypercomplex function theory |
title_fullStr |
Combinatorial identities in the context of hypercomplex function theory |
title_full_unstemmed |
Combinatorial identities in the context of hypercomplex function theory |
title_sort |
Combinatorial identities in the context of hypercomplex function theory |
author |
Cação, Isabel |
author_facet |
Cação, Isabel Falcão, M. I. Malonek, Helmuth R. |
author_role |
author |
author2 |
Falcão, M. I. Malonek, Helmuth R. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Cação, Isabel Falcão, M. I. Malonek, Helmuth R. |
description |
Recently, the authors have shown that a certain combinatorial identity in terms of generators of quaternions is related to a particular sequence of rational numbers (Vietoris’ number sequence). This sequence appeared for the first time in a theorem by Vietoris (1958) and plays an important role in harmonic analysis and in the theory of stable holomorphic functions in the unit disc. We present a generalization of that combinatorial identity involving an arbitrary number of generators of a Cli ord algebra. The result reveals new insights in combinatorial phenomena in the context of hypercomplex function theory. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-11-19T11:19:00Z 2018-07-10T00:00:00Z 2018-07-10 |
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/10773/24666 |
url |
http://hdl.handle.net/10773/24666 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0094-243X 10.1063/1.5043643 |
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 |
AIP Publishing |
publisher.none.fl_str_mv |
AIP Publishing |
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_ |
1817543692565610496 |