Geometric function theory and Smale's mean value conjecture

Ege Fujikawa; Toshiyuki Sugawa

doi:10.3792/pjaa.82.97

Geometric function theory and Smale's mean value conjecture

Ege Fujikawa, Toshiyuki Sugawa

INF - Computer and Mathematical Sciences

Sophia University

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	97-100
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	82
Issue number	7
DOIs	https://doi.org/10.3792/pjaa.82.97
Publication status	Published - 2006

Keywords

Critical point
Hyperbolic density
Polynomial
Univalent function

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10.3792/pjaa.82.97

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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.",

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KW - Hyperbolic density

KW - Polynomial

KW - Univalent function

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Geometric function theory and Smale's mean value conjecture

Abstract

Keywords

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