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Hyperbolic metric and normal family |
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| Authors: | Cai Yun Fang Xue Cheng Pang |
| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, P. R. China 2. School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, P. R. China 3. Department of Mathematics, East China Normal University, Shanghai, 200241, P. R. China |
| Abstract: | In this paper, we study the normality of the family of meromorphic functions from the viewpoint of hyperbolic metric. Then, a new sufficient and necessary condition is obtained, which can determine a given family of meromorphic functions is normal or not. |
| Keywords: | Hyperbolic metric normal family holomorphic function meromorphic function |
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