| 关于Smarandache下部及上部阶乘数列 |
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| 引用本文： | 黄炜.关于Smarandache下部及上部阶乘数列[J].甘肃科学学报,2011,23(4):5-8. |
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| 作者姓名： | 黄炜 |
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| 作者单位： | 宝鸡职业技术学院基础部,陕西 宝鸡,721013 |
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| 基金项目： | 国家自然科学基金项目(10871123); 陕西省自然科学基金项目(SJ08A28) |
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| 摘 要： | 对任意正整数n,设a(n)表示不小于n的最小m阶乘部分.b(n)表示不超过n的最大m阶乘部分,研究了上部阶乘a(n)及下部阶乘b(n)部分数列,采用初等及解析的方法,给出了2个有趣的渐近公式,在所得的定理的基础上,研究了数列{Sn(n)/In(n)},{Kn(n)/Ln(n)｝,{Sn(n)-In(n)｝,｛Kn(n)...
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| 关 键 词： | 下部及上部阶乘部分数列 均值 渐近公式 敛散性 |
On the Smarandache Inferior and Superior Factorial Series |
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| HUANG Wei.On the Smarandache Inferior and Superior Factorial Series[J].Journal of Gansu Sciences,2011,23(4):5-8. |
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| Authors: | HUANG Wei |
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| Institution: | HUANG Wei(Department of Sciences,Baoji Vocational and Technical College,Baoji 721013,China) |
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| Abstract: | Let n be a positive integer,a(n) be the smallest m factorial number greater than or equal to n;and b(n) be the largest m factorial number less than or equal to n.The smallest inferior factorial part a(n) and the largest Superior factorial part b(n) of integer n are studied by using the elementary and analytic methods.Two interesting asymptotic formulas for them are given on the basis of theorem1 obtained.Hence,{Sn(n)/In(n)},{Kn(n)/Ln(n)},{Sn(n)-In(n)},{Kn(n)-Ln(n)}.Its convergence and divergence are also st... |
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| Keywords: | inferior and superior factorial series mean value asymptotic formula convergence and divergence |
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