A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials
Indian Journal of Pure and Applied Mathematics, cilt.55, sa.4, ss.1129-1141, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 55 Sayı: 4
- Basım Tarihi: 2024
- 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
- Sayfa Sayıları: ss.1129-1141
- 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.