期刊论文

Normal families of holomorphic functions shared polynomial

Wang, X.-W.

中文

纺织高校基础科学学报

1006-8341

2009

22

1

4-7

10.3969/j.issn.1006-8341.2009.01.002

本校为第一且通讯机构

运用Zalcman引理,证明了设F为区域D内的一个全纯函数族,k∈N+(≥2),P(z)是一个多项式,且(e)(P(z))

Using the Zalcman lemma, it is proved that let F be a family of holomorphic functions in a domain D, k(≥2) be a positive integer and let P(z) be a polynomial and ∂(P ( z ) < k. If each fεF, K be a positive integer, when f(z) = P(z) ,z ε D,then If(k) I ≤ K, where f and f shared P(z), then F is normal in D. Some normality criterions proved by XU Yan and LIU Zhi...