Bicomplex Fibonacci quaternions

Torunbalcı Aydın F.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 106
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.chaos.2017.11.026
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.147-153
  • Anahtar Kelimeler: Bicomplex number, Fibonacci number, Fibonacci quaternion, Bicomplex quaternion, Bicomplex Fibonacci quaternion, QUANTUM-MECHANICS, HILBERT-SPACES, EQUATION, NUMBERS
  • Yıldız Teknik Üniversitesi Adresli: Evet

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.