Bicomplex k-Fibonacci quaternions
Number Theory
2018-10-12 v1
Abstract
In this paper, bicomplex k-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex k-Fibonacci quaternions which are connected with bicomplex numbers and k-Fibonacci 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.1810.05003,
title = {Bicomplex k-Fibonacci quaternions},
author = {Fügen Torunbalcı Aydın},
journal= {arXiv preprint arXiv:1810.05003},
year = {2018}
}