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100301s2009 sz | s |||| 0|eng d |
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|a 9783034600002
|9 978-3-0346-0000-2
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|a 10.1007/978-3-0346-0000-2
|2 doi
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|a QA299.6-433
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|a PBK
|2 bicssc
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|a MAT034000
|2 bisacsh
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|a 515
|2 23
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|a Avkhadiev, Farit G.
|e author.
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|a Schwarz-Pick Type Inequalities
|c by Farit G. Avkhadiev, Karl-Joachim Wirths.
|h [electronic resource] /
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|a Basel :
|b Birkhũser Basel,
|c 2009.
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|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Frontiers in Mathematics,
|x 1660-8046
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|a 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, Lw̲ner and Teichm<U+00fc>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.
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|a Mathematics.
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|a Global analysis (Mathematics).
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|a Mathematics.
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|a Analysis.
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|a Wirths, Karl-Joachim.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783764399993
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|a Frontiers in Mathematics,
|x 1660-8046
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0346-0000-2
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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