Picard Values and Some Normality Criteria of Meromorphic Functions

In this paper, by making use of Nevanlinna theory and the Zalcman-Pang lemma, we obtain some interesting results of normal criteria relating to the type of differential polynomials f m (z) + a( f(k)(z)) n , which may be seen as some significant generalizations of normal criteria for meromorphic functions in a domain G.