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 with ρ 2 ( f ) < 1 and periodic restriction must be identically if E(0, f (z)) = E(0, (z)) except for a possible set G 1 and E(1, f (z)) = E(1, (z)) except for a possible set G 2 with N(r, G i ) = O(r λ ), (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].