Dual-complex k-Fibonacci numbers

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Chaos, Solitons & Fractals, 2018, vol. 115, issue C, 1-6

Abstract: In this paper, dual-complex k-Fibonacci numbers are defined. Also, some algebraic properties of dual-complex k-Fibonacci numbers which are connected with dual-complex numbers and k-Fibonacci numbers are investigated. Furthermore, the Honsberger identity, the d’Ocagne’s identity, Binet’s formula, Cassini’s identity, Catalan’s identity for these numbers are given.

Keywords: Dual number; Dual-complex number; K-Fibonacci number; Dual-complex k-Fibonacci number (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:115:y:2018:i:c:p:1-6

DOI: 10.1016/j.chaos.2018.08.015

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