| Euler常数的数学表示及其应用 |
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| 引用本文： | 向日光. Euler常数的数学表示及其应用[J]. 阜阳师范学院学报(自然科学版), 2006, 23(3): 4-6 |
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| 作者姓名： | 向日光 |
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| 作者单位： | 长沙理工大学,数学与计算机科学学院,湖南,长沙,410076 |
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| 摘 要： | 数列an=(1+12+13+…+1n)-ln n收敛于Eu ler常数γ,且γ有多种数学表达形式.我们通过格玛函数Γ(x)的两种不同表达方式建立Eu ler常数γ的三个不同的数学表达式,并由此来计算有关非正常积分、级数的和以及无穷乘积的值等.
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| 关 键 词： | Euler常数 格玛函数 stirling公式 |
| 文章编号： | 1004-4329（2006）03-0004-03 |
| 收稿时间： | 2006-03-21 |
| 修稿时间： | 2006-03-21 |
Mathematical Expressions of Euler''''s Constant and Its Applications |
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| XIANG Ri-guang. Mathematical Expressions of Euler''''s Constant and Its Applications[J]. Journal of Fuyang Teachers College:Natural Science, 2006, 23(3): 4-6 |
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| Authors: | XIANG Ri-guang |
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| Affiliation: | School of Math and Computer Science,Changsha University of Science and Technology,Changsha 410076,China |
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| Abstract: | The series of number: a_n=(1+1[]2+1[]3+…+1[]n)-lnn,converges to Euler's constant γ,and Euler's constant γ has many mathematical forms.We construct three different mathematical forms of Euler's constant γ by two different mathematical forms of Gamma's function,and calculate the improper integral,the sums of some numeral series,the infinite product and so on by Euler's constant γ. |
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| Keywords: | euler's constant gamma's function stirling's formula |
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