Uniqueness Theorems of Entire Functions with Shared-set in an Angular Domain  

作　　者：Wei Chuan LIN Seiki MORI Hong Xun YI 

机构地区：[1]Department of Mathematics, Fujian Normal University, Fuzhou 350007, P. R. China [2]Department of Mathematical Sciences, Faculty of Science, Yamagata University, Yamagata,990-8560, Japan [3]Department of Mathematics, Shandong University, Ji'nan 250100, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》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)

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.

关 键 词：SHARED-SET UNIQUENESS entire function angular domain 

分 类 号：O174[理学—数学]