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Hybrid Leonardo numbers

Author

Listed:
  • Alp, Yasemin
  • Kocer, E. Gokcen

Abstract

Until today, many researchers have studied related to hybrid numbers which are a generalization of complex, hyperbolic and dual numbers. In this paper, using the Leonardo numbers, we introduce the hybrid Leonardo numbers. Also, we give some algebraic properties of the hybrid Leonardo numbers such as recurrence relation, generating function, Binet’s formula, sum formulas, Catalan’s identity and Cassini’s identity.

Suggested Citation

  • Alp, Yasemin & Kocer, E. Gokcen, 2021. "Hybrid Leonardo numbers," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004823
    DOI: 10.1016/j.chaos.2021.111128
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    Cited by:

    1. Ferhat Kürüz & Ali Dağdeviren & Paula Catarino, 2021. "On Leonardo Pisano Hybrinomials," Mathematics, MDPI, vol. 9(22), pages 1-9, November.
    2. Nagihan Kara & Fatih Yilmaz, 2023. "On Hybrid Numbers with Gaussian Leonardo Coefficients," Mathematics, MDPI, vol. 11(6), pages 1-12, March.

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