证明了亚纯函数的一个正规定则:设F是区域D内的一族亚纯函数,a≠0,b是2个有穷复数,m,k,n是3个正整数,且n≥m+1.如果对任意的f∈F,f的零点重级至少为k+1,且fm+a(f(k))n≠b,那么F在D内正规.
A normality criterion of meromorphic functions is proved:let F be a family of functions meromorphic in a domain D,n,m,k be three positive integers such that n≥m+1 and a≠0,and b be two finite complex numbers.If for each f∈F,all zeros of f have multiplicity at least k+1,and fm+a(f(k))n≠ b in D,F is normal in D.