Articles

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

  • KONG Yin-Ying
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  • 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 date: 2011-04-27

  Revised date: 2011-10-26

  Online 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.

Cite this article

KONG Yin-Ying . BOREL RADIUS AND T-RADIUS OF THE ALGEBROIDAL FUNCTION IN THE UNIT DISC[J]. Acta mathematica scientia, Series B, 2012 , 32(5) : 1805 -1812 . DOI: 10.1016/S0252-9602(12)60141-6

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