Shared Values And Normal Families

Normal family has been experiencing a noble development since P.Montel initiated it in the princ of20th century. Especially, some scholars from Chain, such as Q.L.Xiong, Q.T.Zhuang, L.Yang, Y.X.Gu, M.L.Fang and X.C.Pang, have gained mang excellent results in normal family, which brings Chain a leadership in this field. The paper is based on the theorems which people had built. Share values and normality of meromorphic functions is studied, and we obtain some corresponding results. Also the whole paper is divided four chapters.The first chapter of the paper is about preliminary theory. We mainly introduces the research background of this paper, the basic concepts, theoroms, and some preliminary knowledge which is necessary to normal family theory, such as Nevanlinna value distribution, etc.In the second chapter, we discusses this condition is satisfied the normality of meromorphic function, we obtain a relevant result.In the third chapter, we mainly discusses f (z) f(k)(z)=a=>f(k)(z)=b and f2(z)f(k)(z)=a<=>g2g(k)(z)=a the two conditions are satisfied the normality of meromorphic function, we obtain two relevant results.The fourth chapter mainly discusses the Shared set of the normality of meromorphic functions Efnf(k)(S)=>Ef(k)(S) the corresponding result is obtained.