Bicomplex Fibonacci quaternions

Torunbalcı Aydın F.

CHAOS SOLITONS & FRACTALS, vol.106, pp.147-153, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 106
  • Publication Date: 2018
  • Doi Number: 10.1016/j.chaos.2017.11.026
  • Journal Name: CHAOS SOLITONS & FRACTALS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.147-153
  • Keywords: Bicomplex number, Fibonacci number, Fibonacci quaternion, Bicomplex quaternion, Bicomplex Fibonacci quaternion, QUANTUM-MECHANICS, HILBERT-SPACES, EQUATION, NUMBERS
  • Yıldız Technical University Affiliated: Yes

Abstract

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.