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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
Staff Zu Site
Abstract In Staff Site
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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