On the value distribution of f + a(f')~n  

作　　者：Lawrence ZALCMAN 

机构地区：[1]Department of Mathematics,Bar-Ilan University,52900,Ramat-Gan,Israel

出　　处：《Science China Mathematics》2008年第7期1196-1202,共7页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 10771076);theNatural Science Foundation of Guangdong Province,China (Grant No. 07006700);by the German-IsraeliFoundation for Scientific Research and Development (Grant No.G-809-234.6/2003)

摘　　要：Let f be a transcendental meromorphic function,a a nonzero finite complex number,and n 2 a positive integer.Then f + a(f')n assumes every complex value infinitely often.This answers a question of Ye for n = 2.A related normality criterion is also given.Let f be a transcendental meromorphic function,a a nonzero finite complex number,and n 2 a positive integer.Then f + a(f')n assumes every complex value infinitely often.This answers a question of Ye for n = 2.A related normality criterion is also given.

关 键 词：MEROMORPHIC FUNCTION VALUE DISTRIBUTION NORMAL families 

分 类 号：O174.52[理学—数学]