Bohr's phenomenon for analytic functions and the hyperbolic metric

被引：22
|
作者：
Abu Muhanna, Yusuf [1 ]
Ali, Rosihan M. [2 ]
机构：
[1] Amer Univ Sharjah, Dept Math, Sharjah, U Arab Emirates
[2] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
来源：
MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 11-12期
关键词：
Bohr's inequality; subordination; hyperbolic metric; convex domain; POWER-SERIES; INEQUALITY; THEOREM; ALGEBRAS; RADIUS;
D O I：
10.1002/mana.201200197
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A link is established between Bohr's inequality for classes of analytic functions and the hyperbolic metric. The classes considered consist of analytic functions mapping the unit disk respectively into the right half-plane, the slit region, and to the exterior of the unit disk. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：1059 / 1065
页数：7
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