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In this present work, the authors obtain Fekete-Szego inequality for certain normalized analytic function f(z) dened on the open unit disk for which (1 )z(D m ; f(z)) 0 +z (D m+1 ; f(z)) 0 (1 )D m ; f(z)+D m+1 ; f(z) ( 0; m 2 N0; 0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions dened by Hadamard product (or convolution)

The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions