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| 摘要: |
| 对形如ｃｎｚφ（ｎ） 的级数的收敛域（约定收敛域为开域），作了较深入的探讨，把级数的数域扩张到复数域，对指数也作了较大的扩展，并且得出了两个定理，给出了这种复级数的比较简单的判定方法，并作了较严格的理论证明。 |
| 关键词: 函数项级数 幂级数 阿贝尔定理，收敛半径 收敛区间 |
| DOI： |
| 分类号: |
| 基金项目: |
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| A New Method for Determining Convergence Radius of Complex Series and Its Application |
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Luo Guang-yao,Zhang Li-sha
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| Abstract: |
| The convergence field,which is defined as open field in this paper,of the series like deeply discussed,the field of series is expanded into complex field,the exponent is also largely expanded,and two theorems are obtained.A relatively simple method for determining this kind of complex series is given and has been strictly verified. |
| Key words: series of function term power series Abel Theorem convergence radius convergence interval |
