The [p,q]th Relative Growth Of Analytic Functios In The Unit Disc And Uniqueness Of Solutions Of A Kind Of Difference Equation

In this thesis,we utilize the knowledge of Nevanlinna value distribution theory to explore the relative[p,q]growth after four arithmetic operations of two analytic or meromorphic functions in the unit disc,at the same time,we also investigate the uniqueness of solutions of certain complex differential difference equation.Furthermore,this article consists of three sections.In section 1,we introduce some basic definitions,theorems and usual notations in Nevanlinna value distribution theory.In section 2,we study the problems of relative[p,q]order and relative[p,q]type after four arithmetic operations of two analytic or meromorphic functions in the unit disc,in addition,we also investigate the relative[p,q]order and relative[p,q]type of f(z)and f’(z)where f(z)is analytic in the unit disc.In section 3,we study the uniqueness of solutions certain complex differential difference equation,then we obtain some results which improve some previous theorems.