Uniqueness Of Meromorphic Functions With Non-integer Finite Order

In 1925, R. Nevanlinna established two fundamental theorems of meromorphic functions and started the modem research of the value distribution theory. By now, the study based on Nevanlinna's theory,of the value distribution and uniqueness on meromorphic functions still attracts many domestic and foreign scholars of mathematics.In this paper, we study the uniqueness of meromorphic functions with non-integer finite order. Details are as follows:In Chapter 1, some preliminaries, we introduce the development of Nevanlinna's theory and the uniqueness theory of meromorphic functions, and recommend some results.In Chapter 2, we discuss the uniqueness of meromorphic functions with non-integer finite order, sharing two values CM or a small function, and improve the results of W.C.L,W.R.RIn Chapter 3, we investigate the the uniqueness of meromorphic functions with non-integer finite order,sharing one or two finite sets.