Abstract
In the present paper sufficient conditions, in terms of hyper-geometric inequalities, are found so that the Hohlov operator preserves a certain subclass of close-to-convex functions (denoted by <TEX>$R^{\tau}$</TEX> (A, B)) and transforms the classes consisting of k-uniformly convex functions, k-starlike functions and univalent starlike functions into <TEX>$\cal{R}^{\tau}$</TEX> (A, B).
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