Fekete-Szegö Problem for Subclasses of Starlike Functions With Respect to Symmetric Points

In the present investigation, sharp upper bounds of |a3-μa²₂| for functions f(z)=z+a₂z²+a₃z³+... belonging to certain subclasses of starlike and convex functions with respect to symmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives are obtained.