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 Staff Zu Site Abstract In Staff Site
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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