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A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials

Author

Listed:
  • Naim Tuglu

    (University of Gazi)

  • Semra Kuş

    (University of Kırşehir Ahi Evran)

  • Can Kızılateş

    (University of Zonguldak Bulent Ecevit)

Abstract

In this paper, by the help the F-vacuum operator, we define the harmonic Fibonacci polynomials and harmonic based F-exponential generating function. The harmonic based F-exponential generating function is obtained for the Bernoulli-F polynomials, the Euler-Fibonacci numbers, the Euler-Fibonacci polynomials and the Bernoulli-Fibonacci numbers, and their relations are shown with the harmonic Fibonacci numbers and polynomials.

Suggested Citation

  • Naim Tuglu & Semra Kuş & Can Kızılateş, 2024. "A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials," Indian Journal of Pure and Applied Mathematics, Springer, vol. 55(4), pages 1129-1141, December.
    • Handle: RePEc:spr:indpam:v:55:y:2024:i:4:d:10.1007_s13226-023-00413-2
    DOI: 10.1007/s13226-023-00413-2
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