Special Session 8: Differential, Difference, and Integral Equations: Techniques and Applications
Uniqueness of meromorphic functions sharing values with their difference polynomials
Huicai Xu
Shanxi Datong University Peoples Rep of China
Co-Author(s):
Abstract:
In this work, we deal with the open question 3IM+1CM in the uniqueness theory of meromorphic functions and we prove that when a non-constant finite order meromorphic function $f$ and its difference polynomials $L(z,f)$ satisfy the condition 3IM+1CM, then $f\equiv L(z,f)$ or $f\equiv -L(z,f)$ holds.