亚纯函数族涉及微分单项式分担移动靶的正规定则

Criteria for Normality of Families of Meromorphic Functions Involved with Moving Targets Shared by Differential Monomials

设a(z)是一个没有零点的整函数,k≥3是个整数,F是区域D上的亚纯函数族,对每一个f∈F至少有k重零点和2重极点.若对每一对f,g∈F有ff(k)与gg(k)IM分担a(z),则F在区域D内正规.

Let a （z） be an entire function without zeros, k ≥ 3 be a positive integer, and F be a family of meromorphic functions on some field D, where the zero＇ s multiplicity of each function fin F is at least k and the pole＇s muhiplicity off is at least 2. If for each pairf, g ∈ F, ff（k） and gg（k） share a（z）, then F is normal on D.