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Einführung in die Theorie der algebraischen Funktionen einer Veränderlichen
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ISBN: 3111507068 Year: 2020 Publisher: Berlin ; Boston : De Gruyter,

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Periodical
Computational methods and function theory.
ISSN: 21953724 Year: 2001 Publisher: [Lemgo, Germany] : Heldermann Verlag,


Book
Komplexe Analysis und ihre Anwendung auf partielle Differentialgleichungen
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Year: 1977 Publisher: Halle (Saale) : Martin-Luther-Universität Halle-Wittenberg,

Theory of complex functions
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ISBN: 0387971955 3540971955 1461269539 1461209390 9780387971957 9783540971955 Year: 1990 Volume: 122 Publisher: New York : Springer-Verlag,


Book
Schwarz-Pick Type Inequalities
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ISBN: 3764399996 9786612128622 1282128620 3034600003 Year: 2009 Publisher: Basel : Birkhäuser Basel : Imprint: Birkhäuser,

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Abstract

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 Poincaré metric, and a successful combination of the classical ideas of Littlewood, Löwner and Teichmüller 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.


Periodical
Complex analysis and operator theory.
ISSN: 16618262 16618254 Year: 2007 Publisher: Basel, Switzerland : Berlin Birkhäuser Springer Link

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"Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, and other related fields."

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