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Uniqueness of Meromorphic Functions and Question of Gross 被引量:15

Uniqueness of Meromorphic Functions and Question of Gross
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摘要 In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross. In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.
作者 仪洪勋
出处 《Science China Mathematics》 SCIE 1994年第7期802-813,共12页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 MEROMORPHIC FUNCTION entire FUNCTION finite set UNIQUENESS theorem. meromorphic function, entire function, finite set, uniqueness theorem.
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