Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2023 |
| 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/10314/9022 |
Resumo: | We revisit a special rational number sequence, introduced by L. Vietoris in 1958 in the study of the positivity of some trigonometric sums and used in other contexts by several authors. The aim of the present paper is to embrace and explore real and hypercomplex analytical methods to obtain generalizations of that rational number sequence, where Jacobi polynomials and generalized Appell polynomials are involved. |
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Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of ViewWe revisit a special rational number sequence, introduced by L. Vietoris in 1958 in the study of the positivity of some trigonometric sums and used in other contexts by several authors. The aim of the present paper is to embrace and explore real and hypercomplex analytical methods to obtain generalizations of that rational number sequence, where Jacobi polynomials and generalized Appell polynomials are involved.AIP Publishing2023-11-24T23:08:57Z2023-11-242023-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10314/9022http://hdl.handle.net/10314/9022engCação, I.Malonek, H.R.Falcão, M.I.Tomaz, G.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:RCAAP2024-01-14T03:00:08Zoai:bdigital.ipg.pt:10314/9022Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:44:17.589270Repositório 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 |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View |
| title |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View |
| spellingShingle |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View Cação, I. |
| title_short |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View |
| title_full |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View |
| title_fullStr |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View |
| title_full_unstemmed |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View |
| title_sort |
Generalized Vietoris’ Number Sequences from Real and Hypercomplex Points of View |
| author |
Cação, I. |
| author_facet |
Cação, I. Malonek, H.R. Falcão, M.I. Tomaz, G. |
| author_role |
author |
| author2 |
Malonek, H.R. Falcão, M.I. Tomaz, G. |
| author2_role |
author author author |
| dc.contributor.author.fl_str_mv |
Cação, I. Malonek, H.R. Falcão, M.I. Tomaz, G. |
| description |
We revisit a special rational number sequence, introduced by L. Vietoris in 1958 in the study of the positivity of some trigonometric sums and used in other contexts by several authors. The aim of the present paper is to embrace and explore real and hypercomplex analytical methods to obtain generalizations of that rational number sequence, where Jacobi polynomials and generalized Appell polynomials are involved. |
| publishDate |
2023 |
| dc.date.none.fl_str_mv |
2023-11-24T23:08:57Z 2023-11-24 2023-09-01T00:00:00Z |
| 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/10314/9022 http://hdl.handle.net/10314/9022 |
| url |
http://hdl.handle.net/10314/9022 |
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eng |
| language |
eng |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
| dc.publisher.none.fl_str_mv |
AIP Publishing |
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AIP Publishing |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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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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