Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (5): 1805-1812.doi: 10.1016/S0252-9602(12)60141-6

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BOREL RADIUS AND T-RADIUS OF THE ALGEBROIDAL FUNCTION IN THE UNIT DISC

 KONG Yin-Ying   

  1. School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangzhou 510320, China; LMBA, Universit´e de Bretagne-Sud, Campus de Tohanic, Vannes 56017, France|Université|Européenne de Bretagne, France
  • Received:2011-04-27 Revised:2011-10-26 Online:2012-09-20 Published:2012-09-20
  • Supported by:

    The research is supported by the National Natural Science Foundation of China (11101096).

Abstract:

Using Ahlfors’ theory of covering surface and a type-function, we confirm the existence theorem of a Borel radius and a T-radius for the algebroidal function dealing with multiple values in the unit disc, which briefly extend some results for the algebroidal functions in the complex plane.

Key words: algebroidal function, Borel radius, T-radius, type-function

CLC Number: 

  • 30D35
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