关于多元复函数的正规族

ON NORMAL FAMILY OF FUNCTIONS OF SEVERAL COMPLEX VARIABLES

研究函数族的正规性定则是复变函数论中的一个重要且有意义的工作。本文通过引进多元Ｋ－拟亚纯函数（或Ｋ－全纯函数）的定义，得到了多元Ｋ－拟亚纯函数（或Ｋ－全纯函数）族的一个正规定则，据此讨论了多元亚纯函数（或全纯函数）族的若干正规性定则。

It is important and useful to reaseach the normal criteria for the functions family in complex variables. By introducing the definition of K-quasimeromorphic (or quasiholomorphic ) function for several complex variables in this paper, we get a normal criterion for the K-quasimeromorphic (or quasiholomorphic) functions family of several complex variables, furthermore we discuss some normal criteria for the meromorphic (or holomorphic) functions which have SP property family of several complex variables.