Mapping Properties of Certain Linear Operator Associated with Hypergeometric Functions

The main object of the present paper is to find some sufficient conditions in terms of hypergeometric inequalities so that the linear operator denoted by H a,b,c µ.δ maps a certain subclass of close-to-convex function Rτ (A, B) into subclasses of k-uniformly starlike and k-uniformly convex functions k − ST(β) and k − UCV(β) respectively. Further, we consider an integral operator and discuss its properties. Our results generalize some relevant results.