On the Mersenne and Mersenne-Lucas hybrid quaternions

Authors

  • E. Ozkan Marmara University, Istanbul, Turkey
  • M. Uysal Erzincan Binali Yıldırım University, Turkey

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.1.10

Keywords:

Mersenne numbers, Mersenne-Lucas numbers, Mersenne hybrid quaternion, Mersenne-Lucas hybrid quaternion

Abstract

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.

Author Biographies

E. Ozkan, Marmara University, Istanbul, Turkey

Department of Mathematics, Faculty of Science, Goztepe Campus, 34722, Kadikoy

M. Uysal, Erzincan Binali Yıldırım University, Turkey

Department of Mathematics, Faculty of Arts and Sciences, Yalnızbag Campus, 24100

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Published

2024-05-15

Issue

Vol. 4(66) No. 1 (2024)

Section

MATHEMATICS