全纯函数与其复合函数的正规族  

Normal families of holmorphic functions and their compositions

作　　者：郑建华[1] 韩云瑞[1] 

机构地区：[1]清华大学应用数学系,北京100084

出　　处：《清华大学学报（自然科学版）》1996年第2期50-52,共3页Journal of Tsinghua University(Science and Technology)

摘　　要：设｛ｆ（ｚ）｝是整函数族。目的是讨论｛ｆ（ｚ）｝和｛ｆ［ｆ（ｚ）］ｆ｝的正规族之间的关系，并且证明：设对每个ｆ（ｚ）。若｛ｆ［ｆ（ｚ）］：ｆ｝在区域Ｄ上正规，则也在Ｄ上正规。Let {(f(z) } be a family of entire functions. The purpose of the paper is to discuss the relation for normalities between {f(z) } and {f(f(z) } and show the main result: That {f(f): f} is normal in D implies that is normal in D, if for each , |f(0)|<1.

关 键 词：正规性 整函数 全纯函数 

分 类 号：O174.52[理学—数学]