<図書>
Schwarz-pick type inequalities
責任表示 | Farit G. Avkhadiev, Karl-Joachim Wirths |
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シリーズ | Frontiers in mathematics |
データ種別 | 図書 |
出版情報 | Basel : Birkhäuser , c2009 |
本文言語 | 英語 |
大きさ | viii, 156 p. ; 24 cm |
概要 | This book discusses in detail the extension of the Schwarz-Pick inequality to higher order derivatives of analytic functions with given images. It is the first systematic account of the main results i... this area. Recent results in geometric function theory presented here include the attractive steps on coefficient problems from Bieberbach to de Branges, applications of some hyperbolic characteristics of domains via Beardon-Pommerenke's theorem, a new interpretation of coefficient estimates as certain properties of the Poincaré metric, and a successful combination of the classical ideas of Littlewood, Löet;wner and Teichmüet;ller with modern approaches. The material is complemented with historical remarks on the Schwarz Lemma and a chapter introducing some challenging open problems.続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6993756 |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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: pbk. | 理系図3F 数理独自 | AVKH/10/1 | 2009 |
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023212008008447 |
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書誌詳細
著者標目 | *Avkhadiev, Farit G Wirths, Karl-Joachim |
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件 名 | LCSH:Geometric function theory LCSH:Holomorphic functions |
分 類 | DC22:515.98 |
書誌ID | 1001233528 |
ISBN | 9783764399993 |
NCID | BA89379303 |
巻冊次 | : pbk. ; ISBN:9783764399993 |
NBN | GBA910845 |
登録日 | 2009.09.18 |
更新日 | 2017.02.18 |