A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials
     
Yazarlar (3)
Naim Tuglu Gazi Üniversitesi, Türkiye
Dr. Öğr. Üyesi Semra KUŞ Kırşehir Ahi Evran Üniversitesi, Türkiye
Can Kızılateş Zonguldak Bulent Ecevit University, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Indian Journal of Pure and Applied Mathematics (Q3)
Dergi ISSN 0019-5588 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 12-2024
Cilt / Sayı / Sayfa 55 / 4 / 1129–1141 DOI 10.1007/s13226-023-00413-2
Makale Linki https://doi.org/10.1007/s13226-023-00413-2
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.
Anahtar Kelimeler
05A40 | 11B37 | 33C52 | Exponential generating function | Harmonic Fibonacci number | Special polynomial | Umbral method