Schwarz-Pick Type Inequalities 在线电子书 图书标签:
发表于2024-12-30
Schwarz-Pick Type Inequalities 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
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 in 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 PoincarA(c) metric, and a successful combination of the classical ideas of Littlewood, LAwner and TeichmA1/4ller with modern approaches. The material is complemented with historical remarks on the Schwarz Lemma and a chapter introducing some challenging open problems. The book will be of interest for researchers and postgraduate students in function theory and hyperbolic geometry.
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Schwarz-Pick Type Inequalities 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024