On The Fekete-Szegö Problem for Generalized Class <i>M</i>α,γ(β) Defined By Differential Operator

Year 2016, Volume: 20 Issue: 3, 456 - 459, 11.11.2016

Fethiye Müge Sakar Sultan Aytaş Hatun Özlem Güney

https://doi.org/10.19113/sdufbed.12069

https://izlik.org/JA72MA34CC

Abstract

In this study the classical Fekete-Szegö problem was investigated. Given f(z)=z+a₂z²+a₃z³+...  to be an analytic standartly normalized function in the open unit disk U={z ∈ C : |z|<1}. For |a₃-μa₂²|, 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

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