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

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 1 with ρ2(f) < 1 and periodic restriction must be identically if E(0,f(z)) = E(0,g(z)) except for a possible set G1 and E‾(1, f(z)) = E‾(1,g(z)) except for a possible set G2 with N(r,Gi) = O(rλ), (i=1,2), where λ(< 1) is a fixed constant. This result is a generalization of some previous works of Chen in [5] and Cai and Chen in [7].