The Families Of Mermorphic Functions Concerning Sharing Values

In this dissertation, we study normal families of mermorphic functions, which is an important subject in complex analysis. Much work was made on this respect. In recent year, connecting normal families with sharing values has been becoming an activated subject .In this dissertation ,we do a further study in normal families of mermorphic functions on sharing values by using mainly the Navelinna's value distribution theory and the theory of normal families of mermorphic functions. A series of normality criteria are attained, such as the normality criterion concerning sharing sets, sharing a value, sharing functions, concerning differential polynomials and so on. The results perfect and generalize the perfect conclusions.