摘要
设F为区域D内的一族全纯函数,k为正整数,n0,…,nk为k个非负整数,满足n0+…+nk≥2,且存在ni≥1(0≤i≤k-1).若对任意f(z)∈F,f(z)的零点重数≥k,且fn0(z)(f(′z))n1…(f(k)(z))nk≠1,则F在D内正规.
Let be a family of holomorphic functions in a domain D, and no,…, nk be k non-negative integers with no+…+nk≥12 and with some ni≥1(0≤i≤k-1).If for every function f(z)∈ ,the zeros off(z) have multiplicities at least k,and f^n0(z)(f(z))^n1…(f^(k)(z))^nk≠1, then is normal in D.
出处
《华南农业大学学报》
CAS
CSCD
北大核心
2008年第4期113-116,共4页
Journal of South China Agricultural University
基金
国家自然科学基金(10741065)
华南农业大学校长基金(4900-K07278)