Mapping properties of certain linear operator associated with hypergeometric functions‏

01-04-2021 17:33

 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 Ha,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.