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.