Subordinations for multivalent analytic functions associated with the Dziok–Srivastava operator

Abstract

Let 𝒜 _p (p∈ℕ:={1, 2, 3, …}) be the class of functions f given by which 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.