The $k-$ Fibonacci numbers $F_{k,n}\:(k>0)$, defined recursively by $F_{k,0}=0$ , $F_{k,1}=1$ and $F_{k,n}=kF_{k,n}+F_{k,n-1}$ for $n\geq1$ are used to define a new class $\mathcal{S}\mathcal{L}^k$. The purpose of this paper is to apply properties of $k$-Fibonacci numbers to consider the classical problem of estimation of
the Fekete–Szegö problem for the class $\mathcal{S}\mathcal{L}^{k}$. An application for inverse
functions is also given.
univalent functions convex functions starlike functions subordination $k$-Fibonacci numbers
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Şubat 2015 |
Yayımlandığı Sayı | Yıl 2015 Cilt: 44 Sayı: 1 |