Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (1): 83-90.

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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

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

CLC Number: 

  • 30D35
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