Meromorphic functions partially sharing 1CM+1IM concerning periodicities and shifts

Abstract

The purpose of this article is to deal with the uniqueness problems of meromorphic functions partially sharing values. It is showed that two entire functions f and g with the order and periodic restrictions must be identically if E(0,f(z))= E(0,g(z)) except for a possible set G_{1} and  \overline{E}(1,f(z))= \overline{E}(1,g(z)) except for a possible set G_{2} with N(r,G_{i})=O(r^{\lambda}), (i=1,2) and \lambda<1. This result is a generalization of some previous works of Chen  in  [5] and Cai and Chen in [7].