Abstract
Let A denote be the class of analytic functions in the unit disk D with the normalization ƒ(0) = ƒ'(0) - 1 = 0. For z/ƒ (z) ≠ 0 in D, consider Uƒ (z) = z/f(z)2ƒ'(z) and B(z) = f(z)/z. Under a suitable condition on Ω we determine the radius of univalence of ƒ whenever Uƒ (z) є Ω or B(z) є Ω for z є D.
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