Ege FUJIKAWA and Toshiyuki SUGAWA

*Geometric function theory and Smale's mean value conjecture*

### Abstract

We improve an estimate of the constant in Smale's mean value conjecture,
by using the Bieberbach theorem for coefficients of univalent functions
and an estimate of the hyperbolic density on a certain simply connected domain.

submission: 9 October, 2006

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