Boundary properties of sequences of holomorphic functions

被引：0
|
作者：
Gharibyan T. [1 ]
Luh W. [2 ]
机构：
[1] Institute of Mathematics, Armenian National Academy of Sciences, Yerevan
[2] Fachbereich IV - Mathematik, Universität Trier, Trier
来源：
Acta Scientiarum Mathematicarum | 2015年 / 81卷 / 1-2期
关键词：
Boundary behavior; Distribution of values; Jentzsch-type theorems;
D O I：
10.14232/actasm-013-084-7
中图分类号：
学科分类号：
摘要：
Suppose that G ⊂ ℂ is a Jordan domain and let the functions fn be holomorphic on G. Assume that U is a neighborhood of a point z0 ∈ ∂G. In this paper the "size" of fn(U) is estimated. As application of the main result, informations about the boundary behavior of the partial sums, Cesàro and Riesz means of power series are obtained. © Bolyai Institute, University of Szeged.
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页码：145 / 150
页数：5
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