Uniqueness theorems in an angular domain
Uniqueness theorems in an angular domain
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DOI：
10.2748/tmj/1170347687
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发表时间：
2006-12-01
影响因子：
0.5
通讯作者：
Tohge, Kazuya
中科院分区：
文献类型：
--
作者：
Lin, Weichuan;Mori, Seiki;Tohge, Kazuya
关于全平面C上的亚纯函数的唯一性理论已有许多文献，但涉及角域上的共享集的唯一性理论似乎还没有得到广泛的研究。在本文中，我们讨论了C中的亚纯函数在一定条件下在角域而不是整个平面上的唯一性问题。此外，实例表明，这些条件是必要的。
There are many papers on the uniqueness theory of meromorphic functions in the whole plane C. However, the uniqueness theory concerned with shared sets in an angular domain does not yet seem widely investigated. In this paper, we deal with the problem of uniqueness for meromorphic functions in C under some conditions in an angular domain instead of the whole plane. Moreover, examples show that those conditions are necessary.