Uniqeness And Normal Family Of Meromorphic Functions On Sharing Value

In this thesis, Mainly by using the Nevanlinna'value distribution theory and Zalcman's lemma, the problems of uniqueness of meromorphic functions and the normal families are studied.With regard to uniqueness, this dissertation studies the problem of entire functions and their differential polynomial sharing one value by using the idea of weighted sharing. The results obtained in this thesis perfect and generalize some of the present conclusions. Concerning normal families of meromorphic functions, normal families with sharing values has mainly discussed. And some results are obtained which generalize and improve the present result.