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

• 作 者: Lawrence ZALCMAN
• 机 构: DepartmentofMathematicsBar-IlanUniversity,Ramat-Gan,Israel
• 出 处: 中国科学：数学英文版
• 发表日期: 2008年7期
• 关键词: MEROMORPHIC FUNCTION VALUE DISTRIBUTION NORMAL families meromorphic function val
• 基金项目: 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 Sc

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.