Bicomplex Third-order Jacobsthal Quaternions
Commutative Algebra
2024-08-15 v1
Abstract
The aim of this work is to consider the bicomplex third-order Jacobsthal quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions. Furthermore, Cassini's identity and d'Ocagne's identity for this type of bicomplex quaternions are given, and a different way to find the -th term of this sequence is stated using the determinant of a four-diagonal matrix whose entries are bicomplex third-order quaternions.
Keywords
Cite
@article{arxiv.1809.06979,
title = {Bicomplex Third-order Jacobsthal Quaternions},
author = {Gamaliel Cerda},
journal= {arXiv preprint arXiv:1809.06979},
year = {2024}
}
Comments
11 pages