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Catalogue Information
Field name	Details
Dewey Class	515
Title	Schwarz-Pick Type Inequalities ([Ebook]) / by Farit G. Avkhadiev, Karl-Joachim Wirths.
Author	Avkhadiev, Farit G.
Added Personal Name	Wirths, Karl-Joachim
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2009.
Physical Details	viii, 156 pages : online resource.
Series	Frontiers in Mathematics 1660-8046
ISBN	9783034600002
Summary Note	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, LÃ¶wner 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.:
System details note	Online access to this digital book is restricted to susbcription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0346-0000-2
Links to Related Works	Subject References: Geometric function theory . Global analysis (Mathematics) . Holomorphic functions. -- Analysis . Authors: author . Avkhadiev, Farit G. . Wirths, Karl-Joachim . Corporate Authors: SpringerLink (Online service) . Series: Frontiers in Mathematics . Classification: 515 . 515 (DDC 23) .

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Schwarz-Pick Type Inequalities

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