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Briot-Bouquet differential superordinations and sandwich theorems |
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| Authors: | Sanford S. Miller Petru T. Mocanu |
| Affiliation: | a Department of Mathematics, State University of New York, College at Brockport, Brockport, NY 14420, USA b Department of Mathematics, Babes-Bolyai University, 3400 Cluj-Napoca, Romania |
| Abstract: | Briot-Bouquet differential subordinations play a prominent role in the theory of differential subordinations. In this article we consider the dual problem of Briot-Bouquet differential superordinations. Let β and γ be complex numbers, and let Ω be any set in the complex plane C. The function p analytic in the unit disk U is said to be a solution of the Briot-Bouquet differential superordination if |
| Keywords: | Differential subordination Differential superordination Briot-Bouquet Univalent Convex Starlike |
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