SOME UNIQUENESS PROBLEMS CONCERNING MEROMORPHIC FUNCTIONS

In this paper, we investigate some uniqueness problems for forward differences Delta(n)(eta)f(z) and Delta(eta)f(z) of a meromorphic function f(z) . When f(z) is an entire function with a Borel exceptional small function a(z) , we obtain the concrete expression of f(z) under the condition that Delta(n)(eta)f(z) and Delta(eta)f(z) share a small function b(z) CM. When f(z) is a meromorphic function with a small deficient function a(z) , we obtain the relationship between Delta(n)(eta)f(z) and Delta(eta)f(z) who share a small function b(z) and infinity CM.