Uniqueness of Entire Functions Concerning Differences  

涉及整函数差分的唯一性研究

作　　者：QIU Shi-lin LIU Dan 邱仕林;刘丹(Institute of Applied Mathematics,South China Agricultural University,Guangzhou 510642,China)

机构地区：[1]Institute of Applied Mathematics,South China Agricultural University,Guangzhou 510642,China

出　　处：《Chinese Quarterly Journal of Mathematics》2021年第4期376-389,共14页数学季刊（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11701188).

摘　　要：In this paper,we study the uniqueness of entire functions and prove the following theorem.Let f be a transcendental entire function of finite order.Then there exists at most one positive integer k,such that f(z)△^(k)_(c)f(z)-R(z)has finitely many zeros,where R(z)is a non-vanishing rational function and c is a nonzero complex number.Our result is an improvement of the theorem given by Andasmas and Latreuch[1].

关 键 词：Nevanlinna theory UNIQUENESS Entire functions Difference operators 

分 类 号：O174.5[理学—数学]