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On filling discs in Borel radius of meromorphic mapping with finite order in the unit circle
Authors:Yinying Kong
Institution:School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangzhou 510320, People's Republic of China
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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