The Uniqueness Theorem Referring To Sharing Value For Non-constant Entire Functions Of Order Less Than1

In this paper, we study the uniqueness theorem for non-constant entire functions of order less than1. And we improve the relevant results that other people get. We obtain the following conclusion:If two non-constant entire functions f(z) and g(z) have two finite IM sharing values, and the order of the two functions are less than3/4, then f(z)≡g(z).We study the uniqueness theorem in the following class:, the order of f is less than1,f is entire, p is polynomial} This class of entire functions is broader than the class of entire functions of order less than1. We have proved the following result:Let f(z) and g(z) be two non-constant entire functions of order less than1,p(z) and q(z) are non-constant polynomials,0is the CM sharing value of f(p(z)) and g(q(z)),1is the IM sharing value and for sufficiently large r>0,when ρf≠0, ρf is a irrational number, then...