Öz
The Fibonacci polynomial Fn(x) defined recurrently by Fn+1(x) = xFn(x)+Fn−1(x),
with F0(x) = 0, F1(0) = 1, for n ≥ 1 is the topic of wide interest for many years. In this article,
generalized Fibonacci polynomials Fbn+1(x) and Lbn+1(x) are introduced and defined by Fbn+1(x) =
xFbn(x)+Fbn−1(x) with Fb0(x) = 0, Fb1(x) = x
2+4, for n ≥ 1 and Lbn+1(x) = xLbn(x)+Lbn−1(x) with
Lb0(x) = 2x
2 + 8, Lb1(x) = x
3 + 4x, for n ≥ 1. Also some basic properties of these polynomials are
obtained by matrix methods.
Anahtar Kelimeler
−Fibonacci Sequence Fibonacci Polynomial Generalised Fibonacci Polynomial
Ayrıntılar
| Diğer ID | JA32GP55DV |
|---|---|
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Kasım 2017 |
| Gönderilme Tarihi | 1 Kasım 2017 |
| Yayımlandığı Sayı | Yıl 2017 Sayı: 19 |