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Research articles

ScienceAsia 46 (2020): 361-367 |doi: 10.2306/scienceasia1513-1874.2020.045

Uniqueness problems on difference operators of meromorphic functions

Chuangxin Chena, Ranran Zhangb,*, Zhibo Huangc, Shuangting Land

ABSTRACT:     In this paper, we study the shared-value problem of forward differences ∆c ƒ(z) and ∆c ƒ(z) of a meromorphic function ƒ (z). For an entire function ƒ (z) with a Borel exceptional small function, we give the specific expression of ƒ(z) when ∆c ƒ (z) and ∆c ƒ (z) share a small function CM. For a meromorphic function ƒ (z) with a small deficient function, we obtain the relationship of ∆c ƒ (z) and ∆c ƒ(z) when they share a small function and ∞ CM.

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a College of Computational Sciences, Zhongkai University of Agriculture and Engineering, Guangzhou 510225 China
b Department of Mathematics, Guangdong University of Education, Guangzhou 510303 China
c School of Mathematical Sciences, South China Normal University, Guangzhou 510631 China
d School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665 China

* Corresponding author, E-mail: zhangranran@gdei.edu.cn

Received 19 Nov 2019, Accepted 9 Jun 2020