Sinryo NONIN and Toshiyuki SUGAWA

*On the inner radius of univalence for an annulus*

### Abstract

For the annulus {z in C,1<|z|<e^m}
we give estimates of the inner radius of
univalence with respect to Schwarzian derivatives.
The estimates are sharp in the sense that
they have the true order when $m$ tends to
$0$ or $+\infty.$

submission: 26 November 2001

revision: 5 December 2001

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