| 关于一类复合幂级数展开式的收敛性定理 |
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| 引用本文： | 徐利治,徐沥泉. 关于一类复合幂级数展开式的收敛性定理[J]. 数学研究及应用, 2008, 28(4): 850-854 |
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| 作者姓名： | 徐利治 徐沥泉 |
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| 作者单位： | 大连理工大学数学系, 辽宁 大连 116024;无锡市教育研究中心, 江苏 无锡 214001 |
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| 摘 要： | 本文研究了一类复合型幂级数展开式,证明了一个收敛性定理并举例说明其应用.在注记中指出了可进一步研究的问题.
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| 关 键 词： | 幂级数展开 Fa`{a} di Bruno公式 收敛性定理. |
| 收稿时间： | 2007-09-06 |
| 修稿时间： | 2007-11-22 |
A Convergence Theorem for a Kind of Composite Power Series Expansions |
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| HSU Leetsch Charles and XU Li Quan. A Convergence Theorem for a Kind of Composite Power Series Expansions[J]. Journal of Mathematical Research with Applications, 2008, 28(4): 850-854 |
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| Authors: | HSU Leetsch Charles and XU Li Quan |
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| Affiliation: | Department of Mathematics, Dalian University of Technology, Liaoning 116024, China;Wuxi Education Research Center, Jiangsu, 214001, China |
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| Abstract: | Presented in this paper is a convergence theorem for a kind of composite power series expansions whose coefficients can be expressed by using Fa`{a} di Bruno's formula. A related problem is proposed as a remark, and a few examples are given as applications. |
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| Keywords: | power series expansion Fa`{a} di Bruno's formula convergence theorem. |
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