2-Fibonacci polynomials in the family of Fibonacci numbers
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Bulgarian Acad Science
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the present study, we define new 2-Fibonacci polynomials by using terms of a new family of Fibonacci numbers given in [4]. We show that there is a relationship between the coefficient of the 2-Fibonacci polynomials and Pascal's triangle. We give some identities of the 2-Fibonacci polynomials. Afterwards, we compare the polynomials with known Fibonacci polynomials. We also express 2-Fibonacci polynomials by the Fibonacci polynomials. Furthermore, we prove some theorems related to the polynomials. Also, we introduce the derivative of the 2-Fibonacci polynomials.
Açıklama
Anahtar Kelimeler
Fibonacci numbers, Fibonacci polynomials, Generalized Fibonacci polynomials
Kaynak
Notes On Number Theory And Discrete Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
24
Sayı
3
