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

作　　者：陈超平 CHEN Chaoping(School of Mathematics and Informatics,Henan Polytechnic University,Jiaozuo 454000,Henan,China)

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《数学年刊（A辑）》2021年第1期89-104,共16页Chinese Annals of Mathematics

基　　金：河南省高等学校重点科研项目(No.20B110007)的资助。

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.In this paper,the author gives a recurrence relation for determining the coefficients 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.

关 键 词：Landau常数 Euler-Mascheroni常数 Stirling级数 渐近展开式 

分 类 号：O173.1[理学—数学]