摘要
设F是一族区域D上的亚纯函数,k,n≥k+2为两个正整数,a(a≠0),b为两个有穷复数,对任意的f∈F,f的零点重数至少为k+1.如果对任意的f,g∈F,在区域D上有f+a(f(k))n与g+a(g(k))n分担b,则F在D上正规.
Let be a family of meromorphic functions in a domain D,and then each f∈F has zeros of multiplicity at least k+1.Let k,n be two positive integers and n≥k+2.Let a(a≠0),b be two finite complex numbers,for any f,its number of zeros is k+1 at least.Each pair of functions f and g in F,f+a^(f(k))n and g+a^(g(k))n shares b,ignoring multiplicity,then F is normal in D.
出处
《广西工学院学报》
CAS
2010年第4期85-88,共4页
Journal of Guangxi University of Technology
基金
云南省自然科学基金项目(2007A0027M)资助
关键词
亚纯函数
正规族
分担值
meromorphic functions
normal family
shared value