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

研究成果: Article › 査読

8 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	97-100
ページ数	4
ジャーナル	Proceedings of the Japan Academy Series A: Mathematical Sciences
巻	82
号	7
DOI	https://doi.org/10.3792/pjaa.82.97
出版ステータス	Published - 2006
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.3792/pjaa.82.97

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title = "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 of a certain simply connected domain.",

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author = "Ege Fujikawa and Toshiyuki Sugawa",

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AU - Sugawa, Toshiyuki

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KW - Critical point

KW - Hyperbolic density

KW - Polynomial

KW - Univalent function

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JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

SN - 0386-2194

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Geometric function theory and Smale's mean value conjecture

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