| Euler积分在积分和极限中的应用 |
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| 引用本文： | 叶晓枫,朱善迎.Euler积分在积分和极限中的应用[J].河南教育学院学报(自然科学版),2008,17(2):16-18. |
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| 作者姓名： | 叶晓枫 朱善迎 |
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| 作者单位： | 华北水利水电学院,数学与信息科学学院,河南,郑州,450011 |
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| 摘 要： | 对Euler积分在求定积分、反常积分以及某些特殊数列极限三方面的应用作了深入探索，给出了解决上述问题的新的途径和方法。拓广了Euler积分的应用范围。
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| 关 键 词： | GAMMA函数 BETA函数 积分 海涅定理 |
Some Discussions of the Applications of the Euler Integral |
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| YE Xiaofeng,ZHU Shanying.Some Discussions of the Applications of the Euler Integral[J].Journal of Henan Education Institute(Natural Science Edition),2008,17(2):16-18. |
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| Authors: | YE Xiaofeng ZHU Shanying |
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| Institution: | (Department of Mathematics and Information Sciences, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China) |
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| Abstract: | Gives new profound explorations in the applications of the Euler integral in solving the definite integrals, the abnormal integrals as well as certain special sequence limits and so on, provides a new way of solving above mentioned problems, widening the range of the applications of the Euler integral. |
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| Keywords: | Gamma function Beta function integral Heine theorem |
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