Dual-complex k-Pell quaternions
Number Theory
2018-10-15 v1
Abstract
In this paper, dual-complex k-Pell numbers and dual-complex k-Pell quaternions are defined. Also, some algebraic properties of dual-complex k-Pell numbers and quaternions which are connected with dual-complex numbers and k-Pell numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's identity, Binet's formula, Cassini's identity, Catalan's identity for these quaternions are given.
Keywords
Cite
@article{arxiv.1810.05002,
title = {Dual-complex k-Pell quaternions},
author = {Fügen Torunbalcı Aydın},
journal= {arXiv preprint arXiv:1810.05002},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1810.04786