Fekete-Szegö Problem for a New Class of Analytic Functions Defined by Using a Generalized Differential Operator

Faculty Science Year: 2013
Type of Publication: ZU Hosted Pages: 21-34
Authors:
Alaa Hassan Attia Hassan
Journal: Department Study For Students Research Others Department of Mathematical Analysis and Applications of Mathematics Faculty of Science of the Palacky University in Olomouc Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturali the Palacký University Olomouc, Czech Republic Volume:
Keywords : Fekete-Szegö Problem , , , Class , Analytic Functions Defined    
Abstract:
In this paper, we obtain Fekete-Szegö inequalities for a generalized class of analytic functions f(z)∈A for which 1+(1/b)(((z(D_{α,β,λ,δ}ⁿf(z))′)/(D_{α,β,λ,δ}ⁿf(z)))-1) (α,β,λ,δ≥0;β>α;λ>δ;b∈ℂ^{∗};n∈ℕ₀;z∈U) lies in a region starlike with r
    
     
 
       

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