English

Identities for third order Jacobsthal quaternions

Combinatorics 2017-06-29 v1

Abstract

In this paper we introduce the third order Jacobsthal quaternions and the third order Jacobsthal-Lucas quaternions and give some of their properties. We derive the relations between third order Jacobsthal numbers and third order Jacobsthal quaternions and we give the matrix representation of these quaternions.

Keywords

Cite

@article{arxiv.1706.08989,
  title  = {Identities for third order Jacobsthal quaternions},
  author = {Gamaliel Cerda-Morales},
  journal= {arXiv preprint arXiv:1706.08989},
  year   = {2017}
}
R2 v1 2026-06-22T20:31:26.346Z