On the Split Mersenne and Mersenne-Lucas Hybrid Octonions

Abstract

In this paper, we defined Split Mersenne and Mersenne-Lucas hybrid octonions and we obtained generating functions for these sequences. Further, we analyzed relations between Split Mersenne hybrid octonions and Split Mersenne-Lucas hybrid octonions. Also, we gave the Binet’s formula for these two sequences and moreover, the well-known identities like Catalan, Cassini and d’Ocagne for these hybrid octonions