| 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,2021,42(1):89~104 |
| 关于Landau常数和 Euler-Mascheroni常数的渐近展开式以及Stirling级数的系数 |
| Coefficients of Asymptotic Expansions for Landau Constants and Euler-Mascheroni Constant and Stirling Series |
| Received:August 11, 2018 |
| DOI：10.16205/j.cnki.cama.2021.0008 |
| 中文关键词: Landau常数, Euler-Mascheroni常数, Stirling级数, 渐近展开式 |
| 英文关键词:Landau constants, Euler-Mascheroni constant, Stirling series,Asymptotic expansion |
| 基金项目:河南省高等学校重点科研项目(No.,20B110007) |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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