Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (5): 833-841.

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Covering Surface Inequality on the Ring and Its Applications

Xiaojing Guo1(),Daochun Sun2,*()   

  1. 1 Sontan College, Guangzhou University, Guangzhou 511370
    2 School of Mathematics Sciece, South China Normal University, Guangzhou 510631
  • Received:2017-03-31 Online:2018-11-09 Published:2018-11-09
  • Contact: Daochun Sun E-mail:betty0104@sina.com;1457330943@qq.com
  • Supported by:
    国家自然科学基金(11501127),此文还受到澳门大学钱涛教授资助

Abstract:

The main purpose of this paper is to give the covering surface inequality for the meromorphic function on the ring, which studies the problem on ring sequence and promotes the classic Picard theorem. Furtherly, we use Valiron type function to obtain the Borel theorem for the finite positive meromorphic function on the infinite ring sequence.

Key words: Ring, Covering surface, Meromorphic function, Picard theorem, Borel theorem

CLC Number: 

  • O174.55
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