On balancing elliptic quaternions
Abstract
The set of quaternions was introduced by Hamilton in 1843. In 2016, Özdemir introduced a generalization of quaternions, elliptic quaternions. In this paper, we introduce and study balancing elliptic quaternions, i.e. elliptic quaternions with balancing and Lucas-balancing coefficients. We give some of their properties, among others the Binet-type formula, the generating function, and the matrix representation of these quaternions.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Advanced Mathematical Theories and Applications
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Acta Universitatis Sapientiae Mathematica
- Volume
- 18
- Issue
- 1
- Publication date
- 12 March 2026
- Language
- EN