On the Euler-Mascheroni constant

被引：2
|
作者：
Macys, J. J. [1 ]
机构：
[1] Vilnius State Univ, Inst Math & Informat, Vilnius, Lithuania
来源：
MATHEMATICAL NOTES | 2013年 / 94卷 / 5-6期
关键词：
Euler-Mascheroni constant; asymptotic expansion for the Euler-Mascheroni constant; two-sided estimates for the Euler-Mascheroni constant;
D O I：
10.1134/S0001434613110060
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A formula for the classical Euler-Mascheroni constant not containing the logarithm is presented. The corresponding asymptotic expansion is proposed. New series rapidly converging to the constant are given.
引用
收藏
页码：647 / 652
页数：6
相关论文
共 50 条
  • [1] EULER-MASCHERONI CONSTANT
    BARNES, ER
    KAUFMAN, WE
    CHESSIN, PL
    GOLDBERG, M
    HANSEN, E
    ZEITLIN, D
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (09): : 1023 - &
  • [2] On the Euler-Mascheroni constant
    J. J. Mačys
    [J]. Mathematical Notes, 2013, 94 : 647 - 652
  • [3] FORMULAS FOR THE EULER-MASCHERONI CONSTANT
    Panzone, Pablo A.
    [J]. REVISTA DE LA UNION MATEMATICA ARGENTINA, 2009, 50 (01): : 161 - 164
  • [4] Approximations to the Euler-Mascheroni Constant
    Han, Xue-Feng
    Chen, Chao-Ping
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (05)
  • [5] Variations on the Euler-Mascheroni Constant
    Dutta, Ramya
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2017, 124 (06): : 565 - 566
  • [6] Inequalities for the Euler-Mascheroni constant
    Chen, Chao-Ping
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (02) : 161 - 164
  • [7] Integral Representations for the Euler-Mascheroni Constant
    Choi, Junesang
    Srivastava, H. M.
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (09) : 675 - 690
  • [8] Optimal bounds for the generalized Euler-Mascheroni constant
    Huang, Ti-Ren
    Han, Bo-Wen
    Ma, Xiao-Yan
    Chu, Yu-Ming
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [9] AN APPROXIMATION FORMULA FOR EULER-MASCHERONI'S CONSTANT
    Panzone, Pablo A.
    [J]. REVISTA DE LA UNION MATEMATICA ARGENTINA, 2016, 57 (01): : 9 - 22
  • [10] Fast convergences towards Euler-Mascheroni constant
    Mortici, Cristinel
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2010, 29 (03): : 479 - 491
12345