| Dirichlet公式的简化证明及应用 |
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| 引用本文： | 王永丽,蒋树强,郑慧琴,张定邦. Dirichlet公式的简化证明及应用[J]. 山东科技大学学报(自然科学版), 1996, 0(4) |
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| 作者姓名： | 王永丽 蒋树强 郑慧琴 张定邦 |
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| 摘 要： | 本文给出了Ｄｉｒｉｃｈｌｅｔ公式的一个简化证明，极易掌握。利用这一公式导出了一个含双参数的级数及其和的表达式。适当选取参数，得出了几个新的收敛级数。
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| 关 键 词： | Euler积分，Dirichlet公式，Gauss超几何级数。 |
A Simplified Proof of the Dirichlet Formula and its Application |
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| Wang yongli, Jiang Shuqiang, Zheng Huiqin, Zhang Dingbang. A Simplified Proof of the Dirichlet Formula and its Application[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 1996, 0(4) |
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| Authors: | Wang yongli Jiang Shuqiang Zheng Huiqin Zhang Dingbang |
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| Affiliation: | Dept. of Appl. Math. and Software Eng. |
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| Abstract: | A simplified proof of the Dirichlet formula is given here and it is much easier to be mastered. A series with two parameters and the expression of its sum are derived from the Dirichlet formula. By choosing suitable parameters, several new and convergent series are obtained. |
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| Keywords: | Euler integration the Dirichlet formula Gauss hypergeometric series. |
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