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On special spacelike hybrid numbers with Fibonacci divisor number components

Author

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  • Can Kızılateş

    (Zonguldak Bulent Ecevit University)

  • Tiekoro Kone

    (Zonguldak Bulent Ecevit University)

Abstract

Hybrid numbers, whose components are defined as real numbers, are a mixture of complex numbers, dual numbers and hyberbolic numbers. These structures are frequently used both in pure mathematics and in many areas of physics. In this paper, by the help of the Fibonacci divisor numbers, we introduce the Fibonacci divisor hybrid numbers that generalize the Fibonacci hybrid numbers defined by Szynal-Liana and Wloch. We obtain miscellaneous algebraic properties of the Fibonacci divisor hybrid numbers. We also give an application related to the Fibonacci divisor hybrid numbers in matrices. Finally, using the character of the Fibonacci divisor hybrid numbers, we show that these numbers are spacelike.

Suggested Citation

  • Can Kızılateş & Tiekoro Kone, 2023. "On special spacelike hybrid numbers with Fibonacci divisor number components," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(1), pages 279-287, March.
    • Handle: RePEc:spr:indpam:v:54:y:2023:i:1:d:10.1007_s13226-022-00252-7
    DOI: 10.1007/s13226-022-00252-7
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    References listed on IDEAS

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    1. 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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    Cited by:

    1. Can Kızılateş & Wei-Shih Du & Nazlıhan Terzioğlu, 2024. "On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations," Mathematics, MDPI, vol. 12(8), pages 1-16, April.

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