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Differential inequalities and criteria for starlike and univalent functions
Date Issued
01-01-2006
Author(s)
Abstract
The main aim of this paper is to use the method of differential subordination to obtain a number of sufficient conditions for a normalized analytic function to be univalent or starlike in the unit disc. In particular, we find a condition on β so that each normalized analytic function f satisfying the condition |1 + zf″(z)/2f′(z) - zf′(z)/f(z)| < β, z ε Δ implies that f is univalent or starlike in the unit disc. Copyright © 2006 Rocky Mountain Mathematics Consortium.
Volume
36