Bulletin of the
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Bull. Korean Math. Soc. 2010; 47(6): 1213-1224

Printed November 1, 2010

https://doi.org/10.4134/BKMS.2010.47.6.1213

Copyright © The Korean Mathematical Society.

On filling discs in the strong Borel direction of algebroid function with finite order

Yingying Huo and Yinying Kong

Guangdong University of Technology, LMAM, Universit\'e de Bretagne-Sud, BP573

Abstract

Using Ahlfors' covering surface method, some properties on the strong Borel direction of algebroid function of finite order are obtained. The main object of this paper is to prove existence theorem of a strong Borel direction and the existence of filling discs in such direction, which briefly extends some results of meromorphic function.

Keywords: algebroid function, strong Borel direction, Type-function, filling disc

MSC numbers: 30D30, 30D35

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