| 无穷积分余项与其被积函数比值的收敛阶 |
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| 引用本文： | 王凤琼. 无穷积分余项与其被积函数比值的收敛阶[J]. 大学数学, 2021, 37(2): 64-68. DOI: 10.3969/j.issn.1672-1454.2021.02.013 |
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| 作者姓名： | 王凤琼 |
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| 作者单位： | 成都信息工程大学 应用数学学院,成都 610225 |
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| 基金项目： | 成都信息工程大学2019年教学工程项目;发展中心2019年项目;成都信息工程大学2018年教改项目;高等学校大学数学教学研究 |
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| 摘 要： | 对一类函数的无穷积分余项与该函数的比值得到当x趋于无穷大时的收敛阶,这类函数是幂函数与指数函数的乘积函数,并将其应用到Mittag-Leffler函数.同时考虑了对应的级数情形.
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| 关 键 词： | 无穷积分 收敛阶 Mittag-Leffler函数 不完全Gamma函数 |
Convergence Order of Ratio of Reminder of an Infinite Integral to Its Integrand |
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| WANG Feng-qiong. Convergence Order of Ratio of Reminder of an Infinite Integral to Its Integrand[J]. College Mathematics, 2021, 37(2): 64-68. DOI: 10.3969/j.issn.1672-1454.2021.02.013 |
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| Authors: | WANG Feng-qiong |
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| Affiliation: | (College of Applied Mathematics,Chengdu University of Information Technology,Chengdu 610225,China) |
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| Abstract: | This paper is concerned with the ratio of the reminder of an infinite integral to its integrand for a class of functions which are products of power functions and exponential functions.Convergence order of the ratio is given when x tends to positive infinity,and it is applied to Mittag-Leffler function.Finally,the case of corresponding series is considered. |
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| Keywords: | infinite integral convergence order Mittag-Leffler function incomplete Gamma function |
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