We study the problems of uniqueness of the exponential polynomials and uniqueness of meromorphic functions concerning sharing values in the general domains.The main results are as follows.(1)Let f(z)and g(z)be non-constant exponential polynomials with constant coefficients and ak(k = 1,2,3,4)be distinct points in finite complex plane.If there are four angular sectors ?k(k=1,2,3,4)of opening strictly gtreater than? in C,such that for k ?{1,2,3,4},f(z)and g(z)share value ak CM in domain ?k,then f(z)= g(z).(2)Let f(z)and g(z)be non-constant exponential polynomials with constant coefficients and ak{k = 1,2,3)be distinct points in finite complex plane.If there are there angular sectors ?k(k= 1,2,3)of opening strictly gtreater than ?in C,such that for k? {1,2,3},f(z)and g(z)share value ak CM in domain?k,then there is a one time rational function T(z)such that g(z)?T(f(z)).(3)Let f(z)and g(z)be non-constant exponential polynomials with constant coefficients.If there is an angular sector ? of opening strictly greater than?,such that f(z)and g(z)share {z?C:z7+z + 1 = 0} CM in domain ?,then f(z)? g(z).Moreover,we give a new method for the uniqueness of two non-constant meromorphic functions(analytic functions)in the general domain. |