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arXiv · 2207.12243

On $k$-Mersenne and k-Mersenne-Lucas Octonions

Munesh Kumari·Kalika Prasad·Hrishikesh Mahato
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Abstract

This paper aims to introduce the $k$-Mersenne and $k$-Mersenne-Lucas octonions. We give the closed form formulae for these octonions and obtain some well-known identities like Cassini's identity, d'Ocagne's identity, Catalan identity, Vajda's identity and generating functions of them. As a consequence k=1 yields all the above properties for Mersenne and Mersenne-Lucas octonions.

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Munesh Kumari, Kalika Prasad, Hrishikesh Mahato. 2022-07-25. On $k$-Mersenne and k-Mersenne-Lucas Octonions. https://arxiv.org/abs/2207.12243

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