Studies On The Periodicity Of Entire Functions

The periodicity is an important property of meromorphic functions.This thesis is devoted to the applications of Nevanlinna theory to consider some problems on the periodicity of transcendental entire functions.Furthermore,we consider the relations on periodicity between the transcendental entire function with its differential polynomials.In Chapter 1,we give the research background and the main content of this paper.In Chapter 2,we give the definitions and lemmas,and some basic results on periodicity.In Chapter 3,we consider the relations between the transcendental entire function with its differential polynomials to give partial results on Yang's Conjecture.In Chapter 4,we investigate the relations on periodicity between the transcendental entire functions with the derivatives of the polynomials of the entire functions.In Chapter 5,we give some further problems based on our results.