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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/114042026-10-18T20:39:21Zopenairedrivercom_ebyu_10000col_ebyu_10001

ON THE HYPERBOLIC k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONSUysal, MineKumari, MuneshKuloğlu, BaharPrasad, KalikaÖzkan, Engin11B3711B3911R52Binet formulaCatalan identitygenerating functionHyperbolic k-Mersenne octonionshyperbolic k-Mersenne-Lucas octo nionsIn 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.University of Kragujevac, Faculty of Science2025Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/11404https://doi.org/10.46793/kgjmat2505.765u1450-9628enKragujevac Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/11404