Majorization for certain analytic functions

Abstract

In this paper two subclasses $S^{delta} _{p,q} (gamma,A,B]$ and $S^{delta} _{p,q} (gamma,A,B]$ of p-valently starlike and p-valently convex functions of complex order $gamma neq 0$ in the open unit disk U are introduced and for these classes several majorization problems are discussed.