Fekete-Szegő Problem for a New Class of Analytic Functions with Complex Order Defined by Certain Differential Operator

Faculty Science Year: 2014
Type of Publication: ZU Hosted Pages: 25-36
Authors:
Alaa Hassan Attia Hassan
Journal: Studia Universitatis Babeş-Bolyai Mathematica Babeş-Bolyai University, Romania Volume:
Keywords : Fekete-Szegő Problem , , , Class , Analytic Functions with    
Abstract:
In this paper, we obtain Fekete-Szegő inequalities for a new class of analytic functions f∈A for which 1+(1/b)[(1-γ)((D_{λ}ⁿ(f∗g)(z))/z)+γ(D_{λ}ⁿ(f∗g)(z))′-1] (γ,λ≥0;b∈ℂ^{∗}=ℂ\{0};n∈ℕ₀;z∈U) lies in a region starlike with respect to 1 and i
    
     
 
       

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