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| 一类无穷级亚纯函数的性质 | |
| 引用本文： | 郭锋,苏敏. 一类无穷级亚纯函数的性质[J]. 云南师范大学学报(自然科学版), 2012, 32(3): 46-49 |
| 作者姓名： | 郭锋 苏敏 |
| 作者单位： | 云南师范大学数学学院,云南昆明,650092 |
| 摘 要： | 研究了一类无穷级亚纯函数其零点集合在一阶导数下的取值是否一定无界,如果m∈N,α（z）为C上的超越整函数,α＇（z）≠0,f（z）=1/（eα（z）-1）m＋z,则Mf={f＇（z）｜z∈C,f（z）=0}无界;在一定条件下对W.Bergweiler的问题予以肯定的回答. |
| 关 键 词： | 亚纯函数 无穷级 Picard例外值 |
The Properties of a Kind of Meromorphic Functions with Infinite Order |
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| GUO Feng , SU Min. The Properties of a Kind of Meromorphic Functions with Infinite Order[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2012, 32(3): 46-49 | |
| Authors: | GUO Feng SU Min |
| Affiliation: | (Department of Mathematics,Yunnan Normal University,Kunming 650092,China) |
| Abstract: | In this paper,we research whether the set of derivative function with one order at zeros of a kind of meromorphic functions with infinite order is unbounded.Let m∈N,α(z)is entire function,α’(z)≠0,f(z)=1/(eα(z)-1)m+z,then,Mf={f’(z)|z∈C,f(z)=0} is unbounded;The result has shown the answer of the problem of W.Bergweiler with proper condition is right. |
| Keywords: | Meromorphic functions Infinite order Picard exceptional value |
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