An extension of Schwick's theorem for normal families

作者:Ye, Yasheng*; Pang, Xuecheng; Yang, Liu
来源:Annales Polonici Mathematici, 2015, 115(1): 23-31.
DOI:10.4064/ap115-1-2

摘要

In this paper, the definition of the derivative of meromorphic functions is extended to holomorphic maps from a plane domain into the complex projective space. We then use it to study the normality criteria for families of holomorphic maps. The results obtained generalize and improve Schwick's theorem for normal families.