| 偶数p-级数和式的改进 |
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| 引用本文： | 蔡俊亮,王琦.偶数p-级数和式的改进[J].北京师范大学学报(自然科学版),2015,51(2):116-119. |
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| 作者姓名： | 蔡俊亮 王琦 |
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| 作者单位： | 北京师范大学数学科学学院,教育部数学与复杂系统重点实验室,100875,北京;
北京市第五中学,100080,北京 |
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| 基金项目： | 国家自然科学基金资助项目(11371133);中央高校基本科研业务费专项资金资助项目 |
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| 摘 要： | 近年来,关于偶数p-级数的求和问题已有许多研究结果.最近,作者获得了偶数p-级数的一个求和显式,同时,也得到了其交错级数的一个求和显式.本文对这些结果作了进一步的改进,使计算更为简单可行.
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| 关 键 词： | 偶数p-级数 求和显式 和式改进 |
Improve summation of even p-series |
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| Institution: | School of Mathematical Sciences,Beijing Normal University,Key Laboratory of mathematics and complex systems,Ministry of education,100875,Beijing;
Beijing fifth middle school,100080,Beijing |
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| Abstract: | Recent years have witnessed many new findings regarding the sum of even p-series.The author has recently obtalned an explicit of a summation of even p-series.An explicit of a summation of the interlace series was also obtalned.Further improvements have been made over the above results,making it much simpler and more workable. |
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| Keywords: | p-series summation explicit recursion |
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