Fekete-Szegö problem for a class defined by an integral operator

Abstract

By making use of an integral operator due to Noor, a new subclass of analytic functions, denoted by k–$\mathscr{UCV}_n$ (n $\in$ N₀ := {0,1,2,...};0 ≤ k < ∞); is introduced. For this class the Fekete-Szegö problem is completely settled. The results obtained here also give the Fekete-Szegö inequalities for the classes of k-uniformly convex functions and k-parabolic starlike functions.