Normal family of holomorphic mappings and a generalization of Lappan's five-valued theorem to holomorphic mapping in several variables

Abstract

In this paper, we prove some results in normal family of holomorphic mappings intersecting with moving hypersurfaces.  Our results strongly extend the Montel's normal criterion in several variables and some previous works. Moreover, we also give a generalization of Lappan's five-valued theorem to $\varphi$-normal mapping in several complex variables. In particular, we correct a result due to Hahn [Complex Variables, 6, 109-121,1986] about Lappan-type theorem for holomorphic curve in several variables.