The Schwarz-Pick theorem and its applications
M. Qazi ; Q. Rahman
Annales UMCS, Mathematica, Tome 65 (2011), p. 149-167 / Harvested from The Polish Digital Mathematics Library
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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 Phragmén-Lindelöf principle, which is of course standard in such situations.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:267558 
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M. Qazi; Q. Rahman. The Schwarz-Pick theorem and its applications. Annales UMCS, Mathematica, Tome 65 (2011) pp. 149-167. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0021-6/

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