| MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, Ⅱ |
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| 引用本文： | 仪洪勋,吕巍然.MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, Ⅱ[J].数学物理学报(B辑英文版),2004,24(1). |
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| 作者姓名： | 仪洪勋 吕巍然 |
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| 作者单位： | Department of Mathematics，Shandong University，Jinan 250100，China，Department of Mathematics，Shandong University，Jinan 250100，China |
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| 基金项目： | Project Supported by the Natural Science Foundation of Shandong，the National Natural Science Foundation of China. |
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| 摘 要： | This paper deals with the problem of uniqueness of meromorphic functions, and gets the following result: There exists a set S with 13 elements such that any two non-constant meromorphic functions / and g satisfying E(S,f) = E(S,g) and E({∞},f) = E({∞},g) must be identical. This is the best result on this question until now.
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MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, Ⅱ |
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| Yi Hongxun Lu Weiran.MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, Ⅱ[J].Acta Mathematica Scientia,2004,24(1). |
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| Authors: | Yi Hongxun Lu Weiran |
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| Institution: | Yi Hongxun Lu Weiran
Department of Mathematics,Shandong University,Jinan 250100,China |
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| Abstract: | This paper deals with the problem of uniqueness of meromorphic functions,and gets the following result: There exists a set S with 13 elements such that any two nonconstant meromorphic functions f and g satisfying E-(S, f) = E-(S, g) and E-({∞}, f) =E-({∞}, g) must be identical. This is the best result on this question until now. |
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| Keywords: | Nevanlinna theory meromorphic function uniqueness theorem |
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