AN APPROXIMATION FORMULA FOR EULER-MASCHERONI'S CONSTANT

被引：0
|
作者：
Panzone, Pablo A. [1 ]
机构：
[1] Univ Nacl Sur, Dept & Inst Matemat, Av Alem 1253, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源：
REVISTA DE LA UNION MATEMATICA ARGENTINA | 2016年 / 57卷 / 01期
关键词：
Euler's constant; Approximation; Linear form; Irrationality; GAMMA FUNCTION; IRRATIONALITY; CRITERIA; NUMBERS; VALUES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A fast approximation formula for Euler Mascheroni's constant based on a certain integral due to Peter Borwein is given. This asymptotic formula for 7 involves harmonic numbers, In 2 and rational numbers whose denominators are powers of 2.
引用
收藏
页码：9 / 22
页数：14
相关论文
共 50 条
  • [1] Fast convergences towards Euler-Mascheroni constant
    Mortici, Cristinel
    COMPUTATIONAL & APPLIED MATHEMATICS, 2010, 29 (03): : 479 - 491
  • [2] Inequalities for the Euler-Mascheroni constant
    Chen, Chao-Ping
    APPLIED MATHEMATICS LETTERS, 2010, 23 (02) : 161 - 164
  • [3] Integral Representations for the Euler-Mascheroni Constant
    Choi, Junesang
    Srivastava, H. M.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (09) : 675 - 690
  • [4] Optimal bounds for the generalized Euler-Mascheroni constant
    Huang, Ti-Ren
    Han, Bo-Wen
    Ma, Xiao-Yan
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [5] A new sequence related to the Euler-Mascheroni constant
    Wu, Shanhe
    Bercu, Gabriel
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [6] A Family of Sequences which Converge to the Euler-Mascheroni Constant
    Harris, Ian R.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2024, 40 (01) : 37 - 45
  • [7] Continued fraction inequalities for the Euler-Mascheroni constant
    Xu, Hongmin
    You, Xu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [8] Improved convergence towards generalized Euler-Mascheroni constant
    Mortici, Cristinel
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (09) : 3443 - 3448
  • [9] New sequence converging towards the Euler-Mascheroni constant
    Chen, Chao-Ping
    Mortici, Cristinel
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (04) : 391 - 398
  • [10] Asymptotic expansions for the psi function and the Euler-Mascheroni constant
    Xu, Aimin
    Cen, Zhongdi
    JOURNAL OF NUMBER THEORY, 2017, 180 : 360 - 372
12345