The Uniqueness And Normal Families Of Meromorphic Functions

Mainly by using the Nevanlinna's value distribution theory and the zalcman's lemma, this thesis studies the problems of the normal families and uniqueness of meromorphic functions in several aspects.With regard to normal families of meromorphic functions,normal families with sharing values has mainly discussed,which improved the results of Fang Mingliang,Yu- an Wenjun,and other authors.Concerning uniqueness, a uniqueness theorem of two meromorphic functions that have weighted sharing two finite sets is obtained,which generalizes the result by Yi Hongxun.