On the bicomplex generalized tribonacci quaternions

Detalhes bibliográficos
Autor(a) principal: Kızılateş, C.
Data de Publicação: 2019
Outros Autores: Catarino, Paula Maria Machado Cruz, Tuğlu, N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10348/9453
Resumo: In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant of a special matrix, and we show that the determinant is equal to the nth term of the bicomplex generalized tribonacci quaternions.
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spelling On the bicomplex generalized tribonacci quaternionsbicomplex numbergeneralized tribonacci sequencebicomplex generalized tribonacci quaternionIn this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant of a special matrix, and we show that the determinant is equal to the nth term of the bicomplex generalized tribonacci quaternions.2019-07-22T08:50:51Z2019-01-14T00:00:00Z2019-01-14info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10348/9453TID:https://doi.org/10.3390/math7010080engKızılateş, C.Catarino, Paula Maria Machado CruzTuğlu, N.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:RCAAP2024-02-02T12:29:57Zoai:repositorio.utad.pt:10348/9453Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:00:27.655299Repositório 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 On the bicomplex generalized tribonacci quaternions
title On the bicomplex generalized tribonacci quaternions
spellingShingle On the bicomplex generalized tribonacci quaternions
Kızılateş, C.
bicomplex number
generalized tribonacci sequence
bicomplex generalized tribonacci quaternion
title_short On the bicomplex generalized tribonacci quaternions
title_full On the bicomplex generalized tribonacci quaternions
title_fullStr On the bicomplex generalized tribonacci quaternions
title_full_unstemmed On the bicomplex generalized tribonacci quaternions
title_sort On the bicomplex generalized tribonacci quaternions
author Kızılateş, C.
author_facet Kızılateş, C.
Catarino, Paula Maria Machado Cruz
Tuğlu, N.
author_role author
author2 Catarino, Paula Maria Machado Cruz
Tuğlu, N.
author2_role author
author
dc.contributor.author.fl_str_mv Kızılateş, C.
Catarino, Paula Maria Machado Cruz
Tuğlu, N.
dc.subject.por.fl_str_mv bicomplex number
generalized tribonacci sequence
bicomplex generalized tribonacci quaternion
topic bicomplex number
generalized tribonacci sequence
bicomplex generalized tribonacci quaternion
description In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant of a special matrix, and we show that the determinant is equal to the nth term of the bicomplex generalized tribonacci quaternions.
publishDate 2019
dc.date.none.fl_str_mv 2019-07-22T08:50:51Z
2019-01-14T00:00:00Z
2019-01-14
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10348/9453
TID:https://doi.org/10.3390/math7010080
url http://hdl.handle.net/10348/9453
identifier_str_mv TID:https://doi.org/10.3390/math7010080
dc.language.iso.fl_str_mv eng
language eng
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