| 关于Landau常数和Euler-Mascheroni常数的渐近展开式以及Stirling级数的系数 |
| |
| 引用本文： | 陈超平.关于Landau常数和Euler-Mascheroni常数的渐近展开式以及Stirling级数的系数[J].数学年刊A辑(中文版),2021,42(1):89-104. |
| |
| 作者姓名： | 陈超平 |
| |
| 作者单位： | 河南理工大学数学与信息科学学院, 河南 焦作 454000. |
| |
| 基金项目： | 河南省高等学校重点科研项目(No.\,20B110007) |
| |
| 摘 要： | 文章给出一个递推关系式来确定Landau常数的渐近展开式的系数.考虑了 Euler-Mascheroni常数和n!的渐近展开式,并给出了递推关系式来确定每个展开式的系数,没有利用Bernoulli数.
|
| 关 键 词： | Landau常数 Euler-Mascheroni常数 Stirling级数 渐近展开式 |
| 收稿时间： | 2018/8/11 0:00:00 |
Coefficients of Asymptotic Expansions for Landau Constants and Euler-Mascheroni Constant and Stirling Series |
| |
| CHEN Chaoping.Coefficients of Asymptotic Expansions for Landau Constants and Euler-Mascheroni Constant and Stirling Series[J].Chinese Annals of Mathematics,2021,42(1):89-104. |
| |
| Authors: | CHEN Chaoping |
| |
| Institution: | School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454000, Henan, China. |
| |
| Abstract: | In this paper, the author gives a recurrence relation for determining the coeffi-cients of asymptotic expansion for the Landau constants. The author also considers asymptotic expansions for the Euler-Mascheroni constant and n!, and he gives a recurrence relation for determining the coefficients of each expansion, without using the Bernoulli numbers. |
| |
| Keywords: | Landau constants Euler-Mascheroni constant Stirling series Asymptotic expansion |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
