Certain Family of Integral Operators Associated with Multivalent Functions Preserving Subordination and Superordination

Abstract

In this paper, we obtain subordination, superordination and sandwich-type results regarding to certain family of integral operators defined on the space of p-valent functions in the open unit disk. Also, an application of the subordination and superordination theorems to the Gauss hypergeometric function are considered. These new results generalize some previously well-known sandwich-type theorems.