UNRESTRICTED MERSENNE AND MERSENNE LUCAS HYBRID QUATERNIONS
By
D. Maheswari1 and S. Devibala2
1School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, India-625021
2Department of Mathematics, Sri Meenakshi Government Arts College for Women (A), Madurai, Tamil Nadu, India Email: matmahes@gmail.com and devibala27@yahoo.com
(Received: December 05, 2023; In format: December 20, 2023; Revised: April 03, 2024; Accepted: October 22, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54210
Abstract
In this paper, we introduce arbitrary coefficients of Mersenne and Mersenne Lucas hybrid quaternions. Then, we provide Binet formulas, generating functions, along with few relationships connecting them. Also, present some well-known identities for these sequences.
2020 Mathematical Sciences Classification: 11B99, 11R52
Keywords: Mersenne Sequence, Mersenne-Lucas Sequence, hybrid numbers, quaternions.