| In this dissertation, we study normal families of functions and obtain some normal criteria of meromorphic functions and holomorphic functions. Normality is an important subject in complex analysis and much fine work was made on this respect. For more than 20 years, connecting normal families with sharing values has been becoming an activated subject.In this dissertation, we do a further study in normal functions on sharing values by using the Nevanlinna's value distribution theory and the theory of normal families of meromorphic functions. A series of normal criteria are attained, such as the normal criteria concerning sharing two values, sharing one value and so on. These results promote and improve some of the results of the corresponding conclusions. |
