Bicomplex Fibonacci quaternions


Torunbalcı Aydın F.

CHAOS SOLITONS & FRACTALS, cilt.106, ss.147-153, 2018 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 106
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.chaos.2017.11.026
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Sayfa Sayısı: ss.147-153

Özet

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.