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A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials   
Yazarlar
Naim Tuglu
Gazi Üniversitesi, Turkey
Dr. Öğr. Üyesi Semra KUŞ Dr. Öğr. Üyesi Semra KUŞ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Can Kızılateş
Bülent Ecevit University, Turkey
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Indian Journal of Pure and Applied Mathematics
Dergi ISSN 0019-5588
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 12-2024
Cilt No 55
Sayı 4
Sayfalar 1129 / 1141
Doi Numarası 10.1007/s13226-023-00413-2