Uniqueness Of Meromorphic Functions Concerning Multiple Value

The dissertation, using the Nevanlinna value distribution theory, studies the uniqueness of meromorphic functions. The case of meromorphic functions sharing one or two value sets is mainly studied and the problem proposed of F.Gross is further discussed. The acquired theorems extend and improve results of Yi H.X. and Fang M.L.,et al. The problem of uniqueness of meromorphic functions concerning the multipliable value is discussed. Some uniqueness theorems are obtained, generalizes and improves the work of Yang C.C and the work of Fang M.L. The problem of uniqueness of meromorphic functions that sharing one pair of value IM with their differential polynomials is studied and pefects present conclusion.