| 函数在无穷级数有关计算中的应用 |
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| 引用本文： | 梁应仙.函数在无穷级数有关计算中的应用[J].沈阳大学学报,2004,16(2):101-102. |
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| 作者姓名： | 梁应仙 |
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| 作者单位： | 沈阳大学,基础课部,辽宁,沈阳,110044 |
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| 摘 要： | 将函数应用于无穷级数之中.欲求一个无穷级数的和,构造一个辅助幂级数,先求出这个幂级数的和函数,再将其结论应用于原问题之中,求出常数项无穷级数的和,从而给出了一个利用函数及其幂级数计算常数项级数之和的方法.
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| 关 键 词： | 绝对收敛 幂级数 无穷级数 辅助函数 |
| 文章编号： | 1008-9225(2004)02-0101-02 |
| 修稿时间： | 2004年1月6日 |
The application of functions in the calculation of infinite series |
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| LIANG Ying-xian.The application of functions in the calculation of infinite series[J].Journal of Shenyang University,2004,16(2):101-102. |
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| Authors: | LIANG Ying-xian |
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| Institution: | LIANG Ying-xian
Department of Basic Courses,Shenyang University,Shenyang 110044,China |
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| Abstract: | The functions were applied in the calculation of infinite series. In order to get the summation of an infinite series,an assistant exponential series was established first,and the summation function of it was calculated, then the result was applied to the constant series. The method of summation calculating of a constant term series by using function and its exponential series was given. |
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| Keywords: | absolute convergence exponential series infinite series assistant function |
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