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Uniqueness of Entire Function Related to Shared Set

Uniqueness of Entire Function Related to Shared Set
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摘要 In this paper,uniqueness of entire function related to shared set is studied.Let f be a non-constant entire function and k be a positive integer,d be a finite complex number.There exists a set S with 3 elements such that if f and its derivative f(k)satisfy E(S,f)= E(S,f(k)),and the zeros of f(z)-d are of multiplicity ≥ k + 1,then f = f(k). In this paper,uniqueness of entire function related to shared set is studied.Let f be a non-constant entire function and k be a positive integer,d be a finite complex number.There exists a set S with 3 elements such that if f and its derivative f(k)satisfy E(S,f)= E(S,f(k)),and the zeros of f(z)-d are of multiplicity ≥ k + 1,then f = f(k).
出处 《Journal of Mathematical Research and Exposition》 CSCD 2011年第6期1015-1020,共6页 数学研究与评论(英文版)
基金 Supported by the Natural Science Foundation of Anhui Province (Grant No. KJ2010B124)
关键词 entire function NORMALITY UNIQUENESS shared set DERIVATIVE entire function normality uniqueness shared set derivative
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参考文献6

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