CHAOS SOLITONS & FRACTALS, vol.106, pp.147-153, 2018 (Journal Indexed in SCI)
Article / Article
Title of Journal :
CHAOS SOLITONS & FRACTALS
Bicomplex number, Fibonacci number, Fibonacci quaternion, Bicomplex quaternion, Bicomplex Fibonacci quaternion, QUANTUM-MECHANICS, HILBERT-SPACES, EQUATION, NUMBERS
In this paper, bicomplex Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex Fibonacci quaternions which are connected with bicomplex numbers and Fibonacci numbers are investigated. Furthermore, Binet's formula, Cassini's identity, Catalan's identity for these quaternions and real representation of these quaternions are given. (c) 2017 Elsevier Ltd. All rights reserved.