Meromorphic Functions that Share Four or Five Pairs of Values
Meromorphic Functions that Share Four or Five Pairs of Values
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DOI：
10.1007/s40315-017-0225-z
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发表时间：
2017-11
影响因子：
2.1
通讯作者：
G. Gundersen;N. Steinmetz;K. Tohge
中科院分区：
文献类型：
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作者：
G. Gundersen;N. Steinmetz;K. Tohge
证明了两个非常亚纯函数共享两对计算多重性的值和共享另外三对忽略多重性的值是Möbius相互变换。这个结果很明显。讨论了共享四对或五对值的亚纯函数的例子。
It is shown that two non-constant meromorphic functions that share two pairs of values counting multiplicities and share three other pairs of values ignoring multiplicities are Möbius transformations of each other. This result is sharp. Examples of meromorphic functions that share four or five pairs of values are discussed.