Bicomplex Fibonacci quaternions

F. Torunbalcı Aydın

Chaos, Solitons & Fractals, 2018, vol. 106, issue C, 147-153

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.

Keywords: Bicomplex number; Fibonacci number; Fibonacci quaternion; Bicomplex quaternion; Bicomplex Fibonacci quaternion (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:106:y:2018:i:c:p:147-153

DOI: 10.1016/j.chaos.2017.11.026

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