On the Mersenne and Mersenne-Lucas hybrid quaternions


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Ozkan E., Uysal M.

Bulletin of theTransilvaniaUniversity of Bra ̧sovSeries III: Mathematics and Computer Science,, cilt.4, sa.66, ss.139-148, 2024 (Scopus) identifier

Özet

In this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions. We find some relations between Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions, Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions.