The Fekete–Szegö problem for k-uniformly convex functions and for a class defined by the Owa–Srivastava operator

By making use of a fractional differential operator due to Owa and Srivastava, a subclass of analytic functions related to k-uniformly convex functions, is introduced. For this class and in particular for the class of k-uniformly convex functions the Fekete–Szegö problem is completely solved.