- Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 20 Issue: 3
- On The Fekete-Szegö Problem for Generalized Class M α,γ(β) Defined By Differential Operator
On The Fekete-Szegö Problem for Generalized Class M α,γ(β) Defined By Differential Operator
Authors : Fethiye Müge Sakar, Sultan Aytaş, Hatun Özlem Güney
Pages : 456-459
Doi:10.19113/sdufbed.12069
View : 15 | Download : 6
Publication Date : 2016-08-22
Article Type : Other
Abstract :In this study the classical Fekete-Szegö problem was investigated. Given f(z)=z+a 2 z 2 +a 3 z 3 +... to be an analytic standartly normalized function in the open unit disk U={z ∈ C : |z|<1}. For |a 3 -μa 2 2 |, a sharp maximum value is provided through the classes of S * α,γ (β) order β and type α under the condition of μ≥1.Keywords : Univalent functions, Analytic, Starlike, Convex, Fekete-Szegö problem