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Zbl 1206.30042
Huo, Yingying; Kong, Yinying
On filling discs in the strong Borel direction of algebroid function with finite order. (English)
[J] Bull. Korean Math. Soc. 47, No. 6, 1213-1224 (2010). ISSN 1015-8634

Summary: Using Ahlfors' covering surface method, some properties of the strong Borel directions of algebroid functions of finite order are obtained. The main object of this paper is to prove an existence theorem for strong Borel directions and a theorem on the existence of filling discs in such directions, which extends some results for meromorphic function.
MSC 2000:
*30D30 General theory of meromorphic functions
30D35 Distribution of values (one complex variable)

Keywords: algebroid function; strong Borel direction; type-function; filling disc

Cited in: Zbl 1244.30063

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