Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

On The Hyperbolic k-Mersenne And k-Mersenne-Lucas Octonions

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Authors: M. UYSAL, M. KUMARI, B. KULOGLU, K. PRASAD AND E. OZKAN

DOI: 10.46793/KgJMat2505.765U

Abstract:

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 octonions in closed form. Furthermore, we investigate the relations between hyperbolic k-Mersenne octonions and hyperbolic k-Mersenne-Lucas octonions.

Keywords:

Hyperbolic k-Mersenne octonions, hyperbolic k-Mersenne-Lucas octonions, Binet formula, Catalan identity, generating function.

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