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Dual-complex k-Fibonacci numbers

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  • Aydın, Fügen Torunbalcı

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.

Suggested Citation

  • Aydın, Fügen Torunbalcı, 2018. "Dual-complex k-Fibonacci numbers," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 1-6.
    • Handle: RePEc:eee:chsofr:v:115:y:2018:i:c:p:1-6
    DOI: 10.1016/j.chaos.2018.08.015
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    References listed on IDEAS

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    1. Falcón, Sergio & Plaza, Ángel, 2007. "On the Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1615-1624.
    2. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
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