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Schwarz-Pick Type Inequalities (Frontiers in Mathematics) by Farit G. Avkhadiev; Karl-Joachim Wirths is a nonfiction available to read on EtoBox.

What is Schwarz-Pick Type Inequalities (Frontiers in Mathematics) about?

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.

Who reads Schwarz-Pick Type Inequalities (Frontiers in Mathematics)?

Author

Farit G. Avkhadiev; Karl-Joachim Wirths

Publisher

Birkhäuser Basel : Imprint: Birkhäuser

Published

2009

Language

EN

ISBN

9783764399993

Category

nonfiction

Subjects

Mathematics, Science, Stem