Second Order Differential Subordinations of Holomorphic Mappings on Bounded Convex Balanced Domains in C
نویسندگان
چکیده
In this paper, we obtain some second order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. These results imply some first order differential subordinations of holomorphic mappings on a bounded convex balanced domain Ω in C. When Ω is the unit disc in the complex plane C, these results are just ones of Miller and Mocanu et al. about differential subordinations of analytic functions on the unit disc in the complex plane C.
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