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

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【作者】 Lawrence ZALCMAN

【Author】 FANG MingLiang1 & Lawrence ZALCMAN2 1 Institute of Applied Mathematics,South China Agricultural University,Guangzhou 510642,China;2 Department of Mathematics,Bar-Ilan University,52900,Ramat-Gan,Israel

【机构】 Department of Mathematics Bar-Ilan University52900Ramat-GanIsrael

【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.

【Abstract】 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.

【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)
  • 【文献出处】 Science in China(Series A:Mathematics) ,中国科学(A辑:数学)(英文版) , 编辑部邮箱 ,2008年07期
  • 【分类号】O174.52
  • 【被引频次】6
  • 【下载频次】61
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