Basic coefficient inequalities -- The Poincaré metric -- Basic Schwarz-Pick type inequalities -- Punishing factors for special cases -- Multiply connected domains -- Related results -- Some open problems
Summary
Discusses the extension of the Schwarz-Pick inequality to higher order derivatives of analytic functions with given images. This book presents a systematic account of the main results in this area. It is of interest for researchers and postgraduate students in function theory and hyperbolic geometry
Bibliography
Includes bibliographical references (pages 143-153) and index