ArticleOriginal scientific text
Title
The Schwarz-Pick theorem and its applications
Authors ,
Abstract
Various derivative estimates for functions of exponential type in a half-plane are proved in this paper. The reader will also find a related result about functions analytic in a quadrant. In addition, the paper contains a result about functions analytic in a strip. Our main tool in this study is the Schwarz-Pick theorem from the geometric theory of functions. We also use the Phragmen-Lindelof principle, which is of course standard in such situations.
Keywords
Bernstein’s inequality, functions of exponential type in a half-plane, rational functions, Schwarz-Pick theorem
Bibliography
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Main language of publication
English
Published
2011
Published online
2016-07-27
Exact and natural sciences