Open Access
March 2006 Geometric function theory and Smale's mean value conjecture
Ege Fujikawa, Toshiyuki Sugawa
Proc. Japan Acad. Ser. A Math. Sci. 82(7): 97-100 (March 2006). DOI: 10.3792/pjaa.82.97

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 of a certain simply connected domain.

Citation

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Ege Fujikawa. Toshiyuki Sugawa. "Geometric function theory and Smale's mean value conjecture." Proc. Japan Acad. Ser. A Math. Sci. 82 (7) 97 - 100, March 2006. https://doi.org/10.3792/pjaa.82.97

Information

Published: March 2006
First available in Project Euclid: 10 October 2006

zbMATH: 1113.30006
MathSciNet: MR2265607
Digital Object Identifier: 10.3792/pjaa.82.97

Subjects:
Primary: 30C10
Secondary: 30C20 , 30C50

Keywords: critical point , hyperbolic density , polynomial , Univalent Function

Rights: Copyright © 2006 The Japan Academy

Vol.82 • No. 7 • March 2006
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