Normal Families Of Meromorphic Functions Concerning Function's Derivatives

In this thesis, we mainly study normal families of meromorphic functions, which is an important subject in complex analysis. Much work was made on this respect. Normal families concerning function's derivatives was becoming an activated subject all the time.In this thesis,we will do further study in normal families of meromorphic functions concerning function's derivative by using mainly the Nevanlinna's value distribution theory and the theory of normal families of meromorphic functions.Through the analysis, the author obtains some normality criteria concerning function's derivative and differential monomials,which extends existing results.