| 关于欧拉求和函数的微分及应用 |
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| 引用本文： | 李有成.关于欧拉求和函数的微分及应用[J].安徽理工大学学报(自然科学版),2011,31(1):13-16,24. |
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| 作者姓名： | 李有成 |
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| 作者单位： | 渭南职业技术学院师范教育系,陕西,渭南,714000 |
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| 基金项目： | 陕西省自然科学基金资助项目 |
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| 摘 要： | 针对文献1]中的一些重要结论,在Hurwitz zeta函数部分和的积分渐进公式研究的基础上,研究了欧拉求和函数的推广的微分问题.采用解析数论中函数和级数的积分方法,对于Hurwitz zeta函数部分和进行微分,得出了欧拉求和函数推广公式的一阶和二阶微分公式,即定理1和定理2,将其结论进行应用,推出了关于级数和积分...
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| 关 键 词： | 欧拉求和 级数 微分 Zeta-函数 |
Differential of Euler Summation Function and Its Application |
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| LI You-cheng.Differential of Euler Summation Function and Its Application[J].Journal of Anhui University of Science and Technology:Natural Science,2011,31(1):13-16,24. |
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| Authors: | LI You-cheng |
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| Institution: | LI You-cheng(Department of Normal Education,Weinan Vocational Technical College,Weinan Shaanxi,714000,China) |
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| Abstract: | Aiming at some important conclusions in reference1],differential of Euler summation function promotion was studied based on Hurwitz Zeta function partial sum and integral asymptotic formula.By using integral method of function and series in analytic number theory,partial sum of Hurwitz zeta function was differentiated,and the first and second order differential formula of Euler summation function promotion formula,namely Theorem 1 and Theorem 2 were obtained.The conclusions were applied to educe five ident... |
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| Keywords: | Euler summation series differential Zeta-function |
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