A study of harmonic Fibonacci polynomials associated With Bernoulli-<i>F</i> and Euler-Fibonacci polynomials
Naim Tuglu, Semra Kus, Can Kizilates
article (Uluslararası, Hakemli) | Yazar(lar): Naim Tuglu, Semra Kus, Can Kizilates | Yıl: 2024 | Dergi/Kurum: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | İndeks: WOS.SCI | DOI: 10.1007/s13226-023-00413-2 | Anahtar Kelimeler: Harmonic Fibonacci number, Umbral method, Special polynomial, Exponential generating functio
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.