| Normal families of meromorphic functions |
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| 作者姓名： | MA Chao-weia WANG Yong-jun |
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| 作者单位： | Department of |
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| 摘 要： | A normal theorem concerning meromorphic functions sharing values was proved with the method of Zalcman- Pang.The theorem is as follows. If for each f in F, all zeros of f-a have multiplicity at least k (k≥2), f and its k-th derivative function share a, and if f=b whenever its k-th derivative equal b, then F is normal in D. This theorem improved the result of Chen and Fang Chen HH, Fang ML, Shared values and normal families of meromorphic functions, Journal of Mathematical Analysis and Applications, 2001, 260: 124-132].
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| 关 键 词： | 数学理论 计算方法 亚纯函数 数学特性 |
| 文章编号： | 1671-8224（2007）04-0299-03 |
| 收稿时间： | 2007-01-16 |
| 修稿时间： | 2007-06-18 |
Normal families of meromorphic functions |
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| MA Chao-weia WANG Yong-jun.Normal families of meromorphic functions[J].Journal of Chongqing University,2007,6(4):299-301. |
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| Authors: | MA Chao-wei WANG Yong-jun |
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| Abstract: | A normal theorem concerning meromorphic functions sharing values was proved with the method of Zalcman-Pang.The theorem is as follows.If for each f in F,all zeros of f-a have multiplicity at least k(k≥2),f and its k-th derivative function share a,and if f=b whenever its k-th denvative equal b,then F is normal in D.This theorem improved the result of Chen and FangChen HH,Fang ML,Shared values and normal families of meromorphic functions,Journal of Mathematical Analysis and Applications,2001,260:124-1 32]. |
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| Keywords: | meromorphic functions normal family shared values |
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