Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON FILLING DISCS IN THE STRONG BOREL DIRECTION OF ALGEBROID FUNCTION WITH FINITE ORDER

  • Huo, Yingying (SCHOOL OF MATHEMATICS GUANGDONG UNIVERSITY OF TECHNOLOGY) ;
  • Kong, Yinying (SCHOOL OF MATHEMATICS AND COMPUTATIONAL SCIENCE GUANGDONG UNIVERSITY OF BUSINESS STUDIES)
  • Received : 2009.04.13
  • Published : 2010.11.30
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Abstract

Using Ahlfors' covering surface method, some properties on the strong Borel direction of algebroid function of finite order are obtained. The main object of this paper is to prove existence theorem of a strong Borel direction and the existence of filling discs in such direction which briefly extends some results of meromorphic function.

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References

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  3. Distribution of branch points of some algebroid functions in the unit disc vol.62, pp.4, 2017, https://doi.org/10.1080/17476933.2016.1234460
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