On Dual k -Pell Quaternions and Octonions

Bibliographic Details
Main Author: Catarino, Paula
Publication Date: 2017
Other Authors: Vasco, Paulo
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10348/12502
Summary: In this study, we define the dual k-Pell, the dual k-Pell-Lucas, and the dual modified k-Pell quaternions and octonions. We investigate some fundamental algebraic properties of these quaternions and octonions. In addition we give Binet's formulae and generating functions.
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spelling On Dual k -Pell Quaternions and Octonionsk-Pell sequencedual numberquaternionsoctonionsIn this study, we define the dual k-Pell, the dual k-Pell-Lucas, and the dual modified k-Pell quaternions and octonions. We investigate some fundamental algebraic properties of these quaternions and octonions. In addition we give Binet's formulae and generating functions.2024-05-20T16:22:29Z2017-01-01T00:00:00Z2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10348/12502eng1660-544610.1007/s00009-017-0848-3Catarino, PaulaVasco, Pauloinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-11-24T02:09:25Zoai:repositorio.utad.pt:10348/12502Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:52:20.795053Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv On Dual k -Pell Quaternions and Octonions
title On Dual k -Pell Quaternions and Octonions
spellingShingle On Dual k -Pell Quaternions and Octonions
Catarino, Paula
k-Pell sequence
dual number
quaternions
octonions
title_short On Dual k -Pell Quaternions and Octonions
title_full On Dual k -Pell Quaternions and Octonions
title_fullStr On Dual k -Pell Quaternions and Octonions
title_full_unstemmed On Dual k -Pell Quaternions and Octonions
title_sort On Dual k -Pell Quaternions and Octonions
author Catarino, Paula
author_facet Catarino, Paula
Vasco, Paulo
author_role author
author2 Vasco, Paulo
author2_role author
dc.contributor.author.fl_str_mv Catarino, Paula
Vasco, Paulo
dc.subject.por.fl_str_mv k-Pell sequence
dual number
quaternions
octonions
topic k-Pell sequence
dual number
quaternions
octonions
description In this study, we define the dual k-Pell, the dual k-Pell-Lucas, and the dual modified k-Pell quaternions and octonions. We investigate some fundamental algebraic properties of these quaternions and octonions. In addition we give Binet's formulae and generating functions.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01T00:00:00Z
2017
2024-05-20T16:22:29Z
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 https://hdl.handle.net/10348/12502
url https://hdl.handle.net/10348/12502
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1660-5446
10.1007/s00009-017-0848-3
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.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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