Uniqueness Concerning Weighted Sharing Value

By using the Nevanlinna's value distribution theory, this dissertation studies the problems of the uniqueness of meromorphic functions by the idea of weighted sharing, and several unicity theorems are obtained. In this dissertation, we study the uniqueness of differential monomial and polynomial of meromorphic functions sharing one value with its weight, and the uniqueness of power function of meromorphic functions weighted sharing one value with its derivative. The results obtained in this dissertation perfect and generalize some of the present conclusions.