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Generalized Hybrid Fibonacci and Lucas p-numbers

Author

Listed:
  • E. Gokcen Kocer

    (Necmettin Erbakan University)

  • Huriye Alsan

    (Necmettin Erbakan University)

Abstract

The hybrid numbers are a generalization of complex, hyperbolic and dual numbers. Until this time, many researchers have studied related to hybrid numbers. In this paper, using the generalized Fibonacci and Lucas p-numbers, we introduce the generalized hybrid Fibonacci and Lucas p-numbers. Also, we give some special cases and algebraic properties of the generalized hybrid Fibonacci and Lucas p-numbers.

Suggested Citation

  • E. Gokcen Kocer & Huriye Alsan, 2022. "Generalized Hybrid Fibonacci and Lucas p-numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(4), pages 948-955, December.
    • Handle: RePEc:spr:indpam:v:53:y:2022:i:4:d:10.1007_s13226-021-00201-w
    DOI: 10.1007/s13226-021-00201-w
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    References listed on IDEAS

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    1. Kocer, E. Gokcen & Tuglu, Naim & Stakhov, Alexey, 2009. "On the m-extension of the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1890-1906.
    2. Falcón, Sergio & Plaza, Ángel, 2007. "On the Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1615-1624.
    3. Stakhov, Alexey & Rozin, Boris, 2006. "Theory of Binet formulas for Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1162-1177.
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    Cited by:

    1. 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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