一类亚纯函数的正规定则

On the Normality of a Kind of Meromorphic Functions

设n≥2,k≥0是两个正整数,并且k+n≠2,F是区域D内的一族亚纯函数,a是一个非零有穷复数,b是一个正数.若对于F中的任意函数f,f的零点重级至少为nk+1,且由(fn(z))(k)=a,有|f(z)|≥b,则F在D内正规.

Let n ≥ 2, k ≥ 0 be two positive integers, and k ＋ n≠ 2. Let F be a family of functions meromorphic in a domain D C C. Let a be a finite non-zero value in C and b be a positive number, all of whose zeros are of multiplicity at least [k/n]＋ 1. If each function f E F satisfies ｜ f（z）｜≥b whenever （fn（z））（k）=a,then F is normal in D.