| 利用微积分算子求幂级数的和函数 |
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| 引用本文： | 彭凯军,孙胜先,苏灿荣.利用微积分算子求幂级数的和函数[J].数学学习,2011(3):37-38. |
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| 作者姓名： | 彭凯军 孙胜先 苏灿荣 |
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| 作者单位： | 合肥工业大学数学学院,安徽合肥230009 |
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| 基金项目： | 基金项目：合肥工业大学校级精品课程项目（数学分析）;中央高校基本科研业务费专项资金资助项目（119-4115090004）. |
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| 摘 要： | 针对幂级数求和函数的问题，引入借助微分算子、积分算子和微分方程进行计算的方法，可作为逐项微分法和逐项积分法的一种补充．实例说明其应用．
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| 关 键 词： | 幂级数 微分算子 积分算子 微分方程 |
Differential and Integral Operators for the Sum of Power Series |
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| PENG Kai-jun,SUN Sheng-xian,SU Can-rong.Differential and Integral Operators for the Sum of Power Series[J].Studies In College Mathematics,2011(3):37-38. |
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| Authors: | PENG Kai-jun SUN Sheng-xian SU Can-rong |
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| Affiliation: | (Department of mathematics, Hefei university of Technology, Hefei 230009, PRC) |
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| Abstract: | Differential and integral operators are introduced to assist the calculation of the sum of a power series. Examples are included to illustrate our methods. |
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| Keywords: | power series differential operator integral operator differential equation |
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