数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (1): 83-90.

• 论文 • 上一篇    下一篇

MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, II

仪洪勋,吕巍然   

  1. Department of Mathematics, Shandong University, Jinan 250100, China
  • 出版日期:2004-07-13 发布日期:2004-07-13
  • 基金资助:

    Project Supported by the Natural Science Foundation
    of Shandong and the National Natural Science Foundation of Chin

MEROMORPHIC FUNCTIONS THAT SHARE TWO SETS, II

 YI Hong-Xun, LV Wei-Ran   

  • Online:2004-07-13 Published:2004-07-13
  • Supported by:

    Project Supported by the Natural Science Foundation
    of Shandong and the National Natural Science Foundation of Chin

摘要:

his paper deals with the problem of uniqueness
of meromorphic functions,  and gets the following result:
There exists a set $S$ with $13$ elements such that any two
non-constant meromorphic functions
$f$ and $g$ satisfying $\overline{E}(S,f)=\overline{E}(S,g)$  and
$\overline{E}(\{\infty\},f)=\overline{E}(\{\infty\},g)$
must be identical. This is  the best result
on this question until now.

Abstract:

his paper deals with the problem of uniqueness
of meromorphic functions,  and gets the following result:
There exists a set $S$ with $13$ elements such that any two
non-constant meromorphic functions
$f$ and $g$ satisfying $\overline{E}(S,f)=\overline{E}(S,g)$  and
$\overline{E}(\{\infty\},f)=\overline{E}(\{\infty\},g)$
must be identical. This is  the best result
on this question until now.

Key words: Nevanlinna theory, meromorphic function, uniqueness theorem

中图分类号: 

  • 30D35