Acta mathematica scientia,Series A

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On the Singular Direction of Meromorphic Function

Liu Xuekun; Wu Zhaojun   

  1. Department of Mathematics, Xianning College, Xianning 437005
  • Received:2006-01-09 Revised:2007-03-15 Online:2007-10-25 Published:2007-10-25
  • Contact: Liu Xuekun

Abstract: In this paper, by using Ahlfors' theory of covering surface, the singular directions of meromorphic functions are discussed. The existence of T direction concerning a rational function is established, which confirms a Zheng's conjecture.

Key words: Covering surface, Borel direction, Julia diretion, T direction

CLC Number: 

  • 30D35
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