摘要
设F是单位圆盘Δ上的亚纯函数族,k是一正整数,a与b是两个不同的非零有穷复数,S={a,b}.ak-1(z),...,a1(z),a0(z)是Δ上的解析函数.如果对任意的f∈F,f的零点重数≥k+1,E-L(f)(S)E-f(S),其中L(f)=f(k)(z)+ak-1(z)f(k-1)(z)+...+a0(z)f(z),则F在Δ上正规.
Let F be a family of me c functions in a domain △, let a and b be distinct non-zero finite complex values. S = {a,b}, ak-1(z) ,... , a1(z), a0(z) be analytic functions in A, for everyf ∈ F , If all zero of f are of multiplicity at least k + 1,/EL∽ (S) belong to E:( S) , and L(f) = f^(k) (z) + ak-1 (z)f^(k-1) (z) +... + a0(z)f(z) , then F is normal in A.
出处
《山西师范大学学报(自然科学版)》
2007年第1期53-56,共4页
Journal of Shanxi Normal University(Natural Science Edition)
关键词
亚纯函数
正规族
微分多项式
分担集合
meromorphic iianction
differential polynomial
normal family
shared Set