Hyperbolic k-Fibonacci Quaternions
General Mathematics
2018-12-04 v1
Abstract
In this paper, hyperbolic k-Fibonacci quaternions are defined. Also, some algebraic properties of hyperbolic k-Fibonacci quaternions which are connected with hyperbolic numbers and k-Fibonacci numbers are investigated. Furthermore, D'Ocagne's identity, the Honsberger identity, Binet's formula, Cassini's identity and Catalan's identity for these quaternions are given.
Keywords
Cite
@article{arxiv.1812.00781,
title = {Hyperbolic k-Fibonacci Quaternions},
author = {Fugen Torunbalci Aydin},
journal= {arXiv preprint arXiv:1812.00781},
year = {2018}
}