Normality Of Meromorphic Functions With Multiple Zeros And Multiple Poles

This thesis studies the problems of the normal families meromorphic functions in several aspects by using the Nevanlinna's value distribution theory and the zalcman's lemma. The author studies the normal families of meromorphic functions with multiple zeros and shared values.The author obtains some normality criteria with improved the results of Gu Y.X and Huang Xiaojun.