The Filling Discs on Borel Radius of Quasimeromorphic Mapping with Finite Order in Unit Disc
单位圆内有限级拟亚纯映射在Borel半径上的充满圆

By using Ahlfors's covering surface method, some existing properties on Borel directions of meromorphic functions with finite order in the open plane are generalized. The existence of filling discs on Borel radius of K-Quasimeromorphic mapping with finite positive order in unit disc is proved, which extends the results of A. Rauch.