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.
@article{bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_149-167,
author = {M. A. Qazi and Q. I. Rahman},
title = {The Schwarz-Pick theorem and its applications},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {65},
year = {2011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_149-167}
}
M. A. Qazi; Q. I. Rahman. The Schwarz-Pick theorem and its applications. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_149-167/
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