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ON THE HYPERBOLIC k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONS

ArticleAçık Erişim

Özet

In this paper, we introduce the hyperbolic k-Mersenne and k-Mersenne Lucas octonions and investigate their algebraic properties. We give Binet’s formula and present several interrelations and some well-known identities such as Catalan identity, d’Ocagne identity, Vajda identity, generating functions, etc. of these octo nions in closed form. Furthermore, we investigate the relations between hyperbolic k-Mersenne octonions and hyperbolic k-Mersenne-Lucas octonions. © 2025, University of Kragujevac, Faculty of Science. All rigths reserved.

Anahtar Kelimeler

11B3711B3911R52Binet formulaCatalan identitygenerating functionHyperbolic k-Mersenne octonionshyperbolic k-Mersenne-Lucas octo nions
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/11404Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.46793/kgjmat2505.765uYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorUysal, Mine
dc.contributor.authorKumari, Munesh
dc.contributor.authorKuloğlu, Bahar
dc.contributor.authorPrasad, Kalika
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:26:27.497035313Z
dc.date.available2026-10-18T20:26:27.497035313Z
dc.date.issued2025
dc.description.abstractIn this paper, we introduce the hyperbolic k-Mersenne and k-Mersenne Lucas octonions and investigate their algebraic properties. We give Binet’s formula and present several interrelations and some well-known identities such as Catalan identity, d’Ocagne identity, Vajda identity, generating functions, etc. of these octo nions in closed form. Furthermore, we investigate the relations between hyperbolic k-Mersenne octonions and hyperbolic k-Mersenne-Lucas octonions. © 2025, University of Kragujevac, Faculty of Science. All rigths reserved.
dc.identifier.doi10.46793/kgjmat2505.765u
dc.identifier.endpage779
dc.identifier.issn1450-9628
dc.identifier.issue5
dc.identifier.scopus2-s2.0-105018093601
dc.identifier.startpage765
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/11404
dc.identifier.volume49
dc.identifier.wosWOS:001469726200006
dc.language.isoen
dc.publisherUniversity of Kragujevac, Faculty of Science
dc.relation.ispartofKragujevac Journal of Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject11B37
dc.subject11B39
dc.subject11R52
dc.subjectBinet formula
dc.subjectCatalan identity
dc.subjectgenerating function
dc.subjectHyperbolic k-Mersenne octonions
dc.subjecthyperbolic k-Mersenne-Lucas octo nions
dc.titleON THE HYPERBOLIC k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONS
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus17
rdl.citation.wos9
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)