Let A p (p ∈ N := {1, 2, 3, . . .}) be the class of functions f given bywhich are analytic in the open unit disk U. Making use of the method of differential subordinations, we obtain some sufficient conditions for f (z) ∈ A p involving the Dziok-Srivastava operator to satisfy certain subordination properties. The results presented here are shown not only to generalize the main results in several earlier investigations, but also to give rise to many other new results.
Let and denote the class of functions of the form which are analytic in the open unit disk and satisfy the following subordination condition , for, for. We obtain sharp bounds on , and coefficient estimates for functions belonging to the class . Conditions for univalency and starlikeness, convolution properties, and the radius of convexity are also considered.
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