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Schwarz-Pick type inequalities PDF

161 Pages·2009·0.718 MB·English
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by Farit G. Avkhadiev, Karl-Joachim Wirths| 2009| 161 pages| 0.718| English

About Schwarz-Pick type inequalities

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 Poincar? metric, and a successful combination of the classical ideas of Littlewood, L?wner and Teichm?ller 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.

Detailed Information

Author:Farit G. Avkhadiev, Karl-Joachim Wirths
Publication Year:2009
ISBN:9783034600002
Pages:161
Language:English
File Size:0.718
Format:PDF
Price:FREE
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