摘要
研究区域D上亚纯函数族涉及微分多项式分担同一复值的正规定则.证明了:设n,k为两个正整数且n≥k+3,a,b是两个有穷复数且a≠0,F是区域D上的一亚纯函数族,F中每一函数的零点重级至少为k+1.若F中任意两个函数f,g有f(k)-afn,g(k)-agn在D内分担b,则F在D内正规.
Let n, k be two positive integers with n ≥ k ＋ 3. Let F be a family of functions meromorphic on a domain D, all of whose zeros have multiplicity at least k ＋ 1. Suppose that for each pair of functions f and g in F, f^（k）-af^n, and g^（k）-ag^n share a value b in D where a, b are two finite complex constants such that a ≠ 0, then F is normal on D.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第8期42-44,共3页
Journal of Southwest University(Natural Science Edition)
关键词
正规族
亚纯函数
分担值
normal family
meromorphic function
shared value
