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Torunbalcı Aydın F.
CHAOS SOLITONS & FRACTALS, vol.106, pp.147-153, 2018 (SCI-Expanded)
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CHAOS SOLITONS & FRACTALS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Bicomplex number, Fibonacci number, Fibonacci quaternion, Bicomplex quaternion, Bicomplex Fibonacci quaternion, QUANTUM-MECHANICS, HILBERT-SPACES, EQUATION, NUMBERS
Yıldız Technical University Affiliated:
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.