The Filling Discs on Borel Radius of Quasimeromorphic Mapping with Finite Order in Unit Disc

KONG Yinying

Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (10) : 1255-1261.

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中国科学院数学与系统科学研究院期刊网
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Journal of Systems Science and Mathematical Sciences ›› 2008, Vol. 28 ›› Issue (10) : 1255-1261. DOI: 10.12341/jssms10156
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The Filling Discs on Borel Radius of Quasimeromorphic Mapping with Finite Order in Unit Disc

  • KONG Yinying
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Abstract

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.

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Quasimeromorphic mapping / covering surface / filling disc / Borel radius.

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KONG Yinying. The Filling Discs on Borel Radius of Quasimeromorphic Mapping with Finite Order in Unit Disc. Journal of Systems Science and Mathematical Sciences, 2008, 28(10): 1255-1261 https://doi.org/10.12341/jssms10156
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