Uniqueness Theorems of Entire Functions with Shared-set in an Angular Domain
Uniqueness Theorems of Entire Functions with Shared-set in an Angular Domain
复制标题
角域内共享集整个函数的唯一性定理
DOI：
10.1007/s10114-008-5479-y
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发表时间：
2008-11-01
影响因子：
0.7
通讯作者：
Yi, Hong Xun
中科院分区：
文献类型：
--
作者：
Lin, Wei Chuan;Mori, Seiki;Yi, Hong Xun
关于整个复平面上共享集的整个函数的唯一性理论已经有很多论文。然而，角域中的唯一性理论似乎并未得到广泛研究。在本文中，我们研究了角域而不是整个复平面中涉及共享集的整个函数的唯一性，并提供了例子来证明定理 1 是尖锐的。
There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigated. In this paper, we study the uniqueness of entire functions concerning shared-sets in an angular domain instead of the whole complex plane, and we supply examples to show that Theorem 1 is sharp.