P^N(C)中去掉非退化超平面系的一个正规定则

Normality Criteria for Families of Holomorphic Mappings Omitting Non-degenerate Hyperplanes into P^N(C)

判定一族函数是否是正规族一直是复分析理论中比较热门的一个活题 .基于涂振汉的一个改良的正规性准则 ,并且运用值分布理论中的一个双曲性判定 ,得到了复投射空间中去掉非退化超平面系的一个正规性定则 。

To distinguish the normality of a family of functions is always an interesting topic in complex analysis.Based on a refined normality criteria of Zhenhan Tu and the hyperbolicity in value distribution theory,we get some normality criteria for families of holomorphic mappings omitting non-degenerate hyperplanes set into complex projective space;some analogous results are also obtained.