This thesis mainly study the problem of non-constant entire functions of order less than 1 and get the following result:If two non-constant entire functions f(z) and g(z) have two different finite IM sharing values a and b, the order of the two functions are less than 1, and()?,such that (?), then f(z)(?)g( z). The result extend some previous conclusion.The thesis also study a conjecture in the following class and prove sharing the set value with two meromorphic functions relationship problem. the following conclusion:Let f(z) and g(z) are two non-constant entire functions, 1a and 2a are two finit-constant, if (?) is the IM sharing set value of f(z) and g(z), and (?), then (?)... |