| A normal family of mermorphic functions which is an important subject incomplex analysis is mainly studied in this dissertation. Much fruitful research workhas been made on this respect. It’s an important topic in the theory of normal familythat considering the normal family with shared values or shared functions. The normalfamilies are studied when they share some values or functions in this paper. Throughthe analysis, the author obtains some normality criteria. This article is divided intofour parts:In part one, the based on knowledge of the value distribution is introduced.In part two, the basics of the theory of normal families are described.In part three, the relationship between normal family and shared value isdiscussed.In part four, the relationship between normal family and shared set is discussed. |