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![]( "Buchcover ISBN 9783764399993")
From the reviews:
“The aim of this book is to give a unified presentation of some recent results in geometric function theory together with a consideration of their historical sources. The extensive historical references are … interesting, thorough and informative. … this book is filled with many challenging conjectures and suggested problems for exploring new research. In summary this is a delightful book that anyone interested in interrelating geometry and classical geometric function theory should read.” (Roger W. Barnard, Mathematical Reviews, Issue 2010 j)Contains historical remarks on the Schwarz Lemma as well as new theorems on Schwarz-Pick inequalities from the last 25 years
In addition to the several analytic methods, readers will find many interesting applications of geometric properties of domains from very special cases to domains with uniformly perfect boundary
A lot of open problems, old and new, in geometric function theory are discussed in detail
Includes supplementary material: sn. pub/extras
