On some first-order differential subordination
Let A denote the class of functions f that are analytic in the unit disc D and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that Re{f′(z)+zf″(z)-β}>α in D. We determine conditions for α and β under which the function f is univalent, close-to-convex...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2014-07-01
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Series: | Journal of the Egyptian Mathematical Society |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13001053 |