On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions

Authors

B. Malini Devi, Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai-625 002, Tamil Nadu, India.Follow
S. Devibala, Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai-625 002, Tamil Nadu, India.Follow

Abstract

In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.

Keywords

Binet formula, Hybrid numbers, Mersenne sequence, Mersenne-Lucas sequence, Quaternions

Article Type

Special Issue Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Devi, B. Malini and Devibala, S. (2023) "On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions," Baghdad Science Journal: Vol. 20: Iss. 1, Article 47.
DOI: https://doi.org/10.21123/bsj.2023.8429