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On Hybrid Numbers with Gaussian Leonardo Coefficients

Author

Listed:
  • Nagihan Kara

    (Department of Mathematics, Ankara Hacı Bayram Veli University, 06900 Ankara, Turkey
    These authors contributed equally to this work.)

  • Fatih Yilmaz

    (Department of Mathematics, Ankara Hacı Bayram Veli University, 06900 Ankara, Turkey
    These authors contributed equally to this work.)

Abstract

We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid Gaussian Leonardo numbers and obtain some of their particular properties. Furthermore, we define n n Hessenberg matrices whose permanents yield the Leonardo and Gaussian Leonardo sequences.

Suggested Citation

  • Nagihan Kara & Fatih Yilmaz, 2023. "On Hybrid Numbers with Gaussian Leonardo Coefficients," Mathematics, MDPI, vol. 11(6), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1551-:d:1104333
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    References listed on IDEAS

    as
    1. Taşcı, Dursun & Sevgi, Emre, 2021. "Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Alp, Yasemin & Kocer, E. Gokcen, 2021. "Hybrid Leonardo numbers," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. 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.
    Full references (including those not matched with items on IDEAS)

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