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Uniqueness Theorems of Entire Functions with Shared-set in an Angular Domain 被引量:4

Uniqueness Theorems of Entire Functions with Shared-set in an Angular Domain
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摘要 There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigated. In this paper, we study the uniqueness of entire functions concerning shared-sets in an angular domain instead of the whole complex plane, and we supply examples to show that Theorem 1 is sharp. There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigated. In this paper, we study the uniqueness of entire functions concerning shared-sets in an angular domain instead of the whole complex plane, and we supply examples to show that Theorem 1 is sharp.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第11期1925-1934,共10页 数学学报(英文版)
基金 the National Natural Science Foundation of China (10671109) the Research Foundation of Doctor Points of China (20060422049) the JSPS Post Doctoral Fellowship Program the Fujian Province Natural Science Foundation (2008J0190)
关键词 SHARED-SET UNIQUENESS entire function angular domain shared-set, uniqueness, entire function, angular domain
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