| 一类无穷级数的求和 |
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| 引用本文： | 于彬.一类无穷级数的求和[J].大学数学,2011,27(2):177-180. |
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| 作者姓名： | 于彬 |
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| 作者单位： | 湘潭大学数学与计算科学学院; |
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| 摘 要： | 应用微分方程的理论和线性代数中的克莱姆法则,范德蒙行列式,得到一类无穷级数∑x<'mn>/(mn)!的求和公式,其中m是任意给定的正整数.
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| 关 键 词： | 无穷级数 微分方程 克莱姆法则 范德蒙行列式 |
The Sum of a Class of Infinite Series |
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| YU Bin.The Sum of a Class of Infinite Series[J].College Mathematics,2011,27(2):177-180. |
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| Authors: | YU Bin |
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| Institution: | YU Bin(School of Mathematics and Computational Science,Xiangtan University,Xiangtan,Hunan 411105,China) |
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| Abstract: | Using the theory of differential equation and the Cramer rule,Vandermonde determinant in the linear algebra,we obtain the sum of the infinite series ∞∑n=0xmn/(mn)!,where m is an arbitrary positive integer. |
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| Keywords: | infinite series differential equation Cramer rule Vandermonde determinant |
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