On filling discs in Borel radius of meromorphic mapping with finite order in the unit circle☆

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Abstract

Using Ahlfors' covering surface method, some properties on Borel radius of meromorphic functions with finite order in the unit circle are obtained. The main object of this paper is to prove the existence of filling discs in Borel radius of such functions, which briefly extends the results of A. Rauch.

Keywords

Meromorphic mapping
Covering surface
Finite order
Borel radius
Filling disc

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The project is supported by SRFDP (No. 20050574002).

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