Combinatorial identities in the context of hypercomplex function theory
| Autor(a) principal: | |
|---|---|
| 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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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:RCAAP2024-02-22T11:48:03Zoai:ria.ua.pt:10773/24666Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:58:08.225620Repositório 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 |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/24666 |
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http://hdl.handle.net/10773/24666 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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0094-243X 10.1063/1.5043643 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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AIP Publishing |
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AIP Publishing |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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