摘要：In this paper, we discuss the normality of meromorphic functions which involves differential polynomial sharing values. We obtain two results: Let k be a positive integer, b (≠0) be a complex number, and h ( z ) be a polynomial with degree at least 2, and H ( f , f ′ , … , f ( k ) ) be a differential polynomial with Γ γ H < k + 1 . Let ℱ be a family of meromorphic functions defined in D, all of whose zeros have multiplicity at least k + 1 . If h ( z ) − 1 has at least two distinct zeros, h ( f ( k ) ) + H ( f , f ′ , … , f ( k ) ) − 1 has at most one distinct zero in D for each f ∈ F , then ℱ is normal in D. If h ( z ) − b has at least two distinct zeros and for each pair of functions f and g in ℱ, h ( f ( k ) ) + H ( f , f ′ , … , f ( k ) ) and h ( g ( k ) ) + H ( g , g ′ , … , g ( k ) ) share b in D, then ℱ is normal in D, too. Two examples show that a condition in our results is necessary and our results improve Fang and Hong’s, and Zeng’s corresponding results. MSC:30D35, 34A05.
