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The purpose of the present paper is to derive several Fekete-Szego type coefficient inequalities for certain subclasses of normalized analytic functions f (z) defined in the open unit disk. Various applications of our main results involving (for example) the Owa-Srivastava operator of fractional calculus are also considered. Thus, as one of these applications of our result, we obtain the Fekete-Szego type inequality for a class of normalized analytic functions, which is defined here by means of the Hadamard product (or convolution) and the Owa-Srivastava operator. Mathematics subject classification (2000): 30C45, 26A33.

mathematical inequalities and applications

Coefficient inequalities for certain subclasses of analytic functions and their applications involving the Owa-Srivastava operator of fractional calculus