Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1219-1227.

• Articles • Previous Articles     Next Articles

On the Fundamental Theorems for Reducible Algebroid Functions

 WANG Song-Min   

  1. Department of Basic, The Chinese People's Armed Police Forces Academy, Hebei Langfang 065000
  • Received:2013-07-03 Revised:2014-07-04 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    数学天元青年基金(11226098)和河北省青年科学基金(A2012507004)资助

Abstract:

Algebroid functions are generally determined by the irreducible equations. Recently, Sun and Gao[1-2] have removed the request when they investigated the arithmetic operations of algebroid functions. In this paper, we study the algeroid functions determined by the reducible euqations. First, we discuss its single-valued branches and branch points, then show that the logarithmic derivative lemma, the first and second fundamental theorems of algeboird functions also apply to the reducible algeboid functions.

Key words: Algebroid function, Reducibility, Fundamental theorem

CLC Number: 

  • 30D35
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