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On The Fekete-Szego Problem for Some Subclasses Of Analytic Functions Defined By Convolution

G. Murugusundaramoorthy1, S. Kavitha2, Thomas Rosy2
1School of Sciences and Humanities, VIT University Vellore-632 014, India
2Department of Mathematics, Madras Christian College Chennai-600 059, Tamilnadu, India

Abstract

In this present investigation, the authors obtain Fekete-Szegő’s inequality for certain normalized analytic functions \( f(z) \) defined on the open unit disk. As a special case of this result, Fekete-Szegő’s inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to give a generalization of the Fekete-Szegő inequalities obtained by Srivastava and Mishra and Ma and Minda.