Abstract
Let $S$ be the standard class of univalent functions in the unit disk, and let ${S_0}$ be the class of nonvanishing univalent functions $g$ with $g(0) = 1$. It is shown that the regions of variability $\{ g(r):g \in {S_0}\}$ and $\{ (1 - {r^2})f\prime (r):f \in S\}$ are very closely related but are not quite identical.
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