摘要: 分析了两类涉及变动分担值以及高阶导数的函数族正规性。应用Pang-Zalcman引理，分别讨论了两个涉及高阶导数的全纯函数f以及亚纯函数g分担值的正规定则，并且将固定分担值推广到了依赖于f与g的分担值，得到了两类新的正规定则。令ℑ为D上一全纯函数族，a
f,b
f,c
f为3个非零有穷复数，a
f≠b
f，满足：1)min{σ(0,a
f),σ(0,b
f),σ(a
f,b
f)}≥ε；2)
相对于f独立；若对于任意的f∈ℑ，f的零点重级至少为k，且f(z)=0⇔f
(k )(z)=a
f，f
(k )(z)=b
f⇒f(z)=c
f，则ℑ在复数域D内正规。
Abstract:
Two classes of function family regularity involving higher-order derivative variable sharing values are discussed. Applying the Pang-Zalcman lemma, normality criterions for sharing values of holo-morphic functions f and meromorphic functions g which involving higher-order derivatives are dis-cussed respectively, and the fixed sharing values are generalized to the sharing values which de-pendent on f and g, hence two normality criterion are obtained. Let be a family of holomorphic function in a domain D, for every f∈ℑ, the zeros of f have multiplicities at least k. a
f,b
f,c
f are three finite non-zero complex numbers and a
f≠b
f. And satisfied 1) min{σ(0,a
f),σ(0,b
f),σ(a
f,b
f)}≥ε; 2)
are independent of f; and f(z)=0⇔f
(k )(z)=a
f，f
(k )(z)=b
f⇒f(z)=c
f, . Then ℑ is normal in D.