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...

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Bibliographic Details
Main Authors: M. Nunokawa, E. Yavuz Duman, J. Sokół, N.E. Cho, S. Owa
Format: Article
Language:English
Published: SpringerOpen 2014-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X13001053