Subordination for certain analytic multivalent functions defined by using differential operator

Abstract

In this paper we define Differential operator for certain analytic multivalent functions in the open unit disk U. Two subclasses Sp,δ(|b|, β) and Tp,δ(|b|, β) of f(z) are introduce. The object of the present paper is to discuss some sufficient conditions for f(z) to be in the classes Sp,δ,k(|b|, β) and Tp,δ,k(|b|, β) by using the concept of subordination.