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ON THE MERSENNE AND MERSENNE-LUCAS HYBRID QUATERNIONS

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Özet

In this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions. We find some relations between Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions, Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions. © 2024, Transilvania University of Brasov 1. All rights reserved.

Anahtar Kelimeler

Mersenne hybrid quaternionMersenne numbersMersenne-Lucas hybrid quaternionMersenne-Lucas numbers
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, Engin
dc.contributor.authorUysal, Mine
dc.date.accessioned2026-10-18T20:26:43.213510339Z
dc.date.available2026-10-18T20:26:43.213510339Z
dc.date.issued2024
dc.description.abstractIn this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions. We find some relations between Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions, Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions. © 2024, Transilvania University of Brasov 1. All rights reserved.
dc.identifier.doi10.31926/but.mif.2024.4.66.1.10
dc.identifier.endpage148
dc.identifier.issn2810-2029
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85194461199
dc.identifier.startpage139
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/11711
dc.identifier.volume4
dc.language.isoen
dc.publisherTransilvania University of Brasov 1
dc.relation.ispartofBulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMersenne hybrid quaternion
dc.subjectMersenne numbers
dc.subjectMersenne-Lucas hybrid quaternion
dc.subjectMersenne-Lucas numbers
dc.titleON THE MERSENNE AND MERSENNE-LUCAS HYBRID QUATERNIONS
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.oa.statusopen
rdl.source.indexSCOPUS