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

TUĞLU N., Kuş S., Kızılateş C.

Indian Journal of Pure and Applied Mathematics, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s13226-023-00413-2
  • Dergi Adı: Indian Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Anahtar Kelimeler: Harmonic Fibonacci number, Umbral method, Special polynomial, Exponential generating function
  • Gazi Üniversitesi Adresli: Evet

Özet

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.