On results of H. Ueda and G. Brosch concerning the unicity of meromorphic functions

On results of H. Ueda and G. Brosch concerning the unicity of meromorphic functions
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DOI:
10.1016/j.jmaa.2007.02.017
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发表时间:
2007-11
影响因子:
1.3
通讯作者:
Qi Han;S. Mori;K. Tohge
Qi Han;S. Mori;K. Tohge
中科院分区:
数学3区
文献类型:
--
作者:
Qi Han;S. Mori;K. Tohge

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利用G. Brosch的主要思想,证明了R. Nevanlinna关于亚纯函数在开放复平面上具有三个不同值、一个第四值或一个弱值对的唯一性的四值定理类型的两个结果,推广和推广了R. Nevanlinna、G.G. Gundersen、H. Ueda和G. Brosch前人的结果。
By emplying the main ideas from G. Brosch, two results of R. Nevanlinna's Four Value Theorem type on the unicity of meromorphic functions in the open complex plane sharing three distinct values, and a fourth value or a pair of values weakly are proved, which extend and generalize previous results of R. Nevanlinna, G.G. Gundersen, H. Ueda and G. Brosch.