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Mapping properties of certain linear operator associated with hypergeometric functions

abstract: 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.