Fekete-Szegö Inequalities for Starlike Functions with respect to k-Symmetric Points of Complex Order

الملخص EN

Sharp upper bounds of a3-μa22 for the function fz=z+∑m=2∞amzm belonging to certain subclass of starlike functions with respect to k-symmetric points of complex order are obtained.

Also, applications of our results to certain functions defined through convolution with a normalized analytic function are given.

In particular, Fekete-Szegö inequalities for certain classes of functions defined through fractional derivatives are obtained.