北京大学学报(自然科学版)

关于Hayman的一个定理

庄圻泰   

  1. 北京大学数学科学学院,北京,100871
  • 收稿日期:1997-03-31 出版日期:1998-01-20 发布日期:1998-01-20

On a Theorem of Hayman

CHUANG Chitai   

  1. School of Mathematics, Peking University, Beijing, 100871
  • Received:1997-03-31 Online:1998-01-20 Published:1998-01-20

摘要: 给出了Hayman的一个定理的新的证明。

关键词: 亚纯函数, Hayman的定理

Abstract: The purpose of this paper is to give a new proof of the well known inequality of Hayman: T(r, f)<=(2+(1/l))N(r, 1/f)+(2+(2/l))N(r, 1/(f(l)-1))+S(r,f), by a method which in some respects simplifies that of Hayman.

Key words: meromorphic functions, theorem of Hayman

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