Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1296-1303.

• Articles • Previous Articles     Next Articles

On the Uniqueness of Algebroid Functions and Their Derivatives

 LIU Hui-Fang   

  1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022
  • Received:2013-03-10 Revised:2013-11-30 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11201195)、江西省自然科学基金(20122BAB201012, 20132BAB201008)和江西省教育厅科技项目(GJJ12179)资助

Abstract:

In this paper, from considering the relationship between the shared values and the branch points of algebroid functions, we obtain some uniqueness theorem of algebroid functions sharing values with their derivatives, which extend some
shared value theorem of meromorphic functions and their derivatives obtained by Gundersen and Mues-Steinmetz.

Key words: Algebroid function, Function element, Shared value, Uniqueness

CLC Number: 

  • 32C20
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