Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904538 | Acta Mathematica Scientia | 2017 | 13 Pages |
Abstract
In this article, we mainly devote to proving uniqueness results for entire functions sharing one small function CM with their shift and difference operator simultaneously. Let f(z) be a nonconstant entire function of finite order, c be a nonzero finite complex constant, and n be a positive integer. If f(z), f(z+c), and
Îcnf(z) share 0 CM, then f(z + c)â¡ Af(z), where A(â 0) is a complex constant. Moreover, let a(z), b(z)(⢠0) â S(f) be periodic entire functions with period
f(z)âa(z),f(z+c)âa(z),Îcnf(z)âb(z) share 0 CM, then f(z + c) â¡ f(z).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ning CUI, Zong-Xuan CHEN,