Some Euler-type integrals and a new rational series for Euler's constant

被引：0

作者：

Oloa, Olivier ^{[1
]}

机构：

[1] Univ Versailles, IUT Rambouillet, F-78120 Versailles, France

来源：

TAPAS IN EXPERIMENTAL MATHEMATICS | 2008年 / 457卷

关键词：

integral; logarithmic; trigonometric; log-trigonometric; Euler's constant; digamma;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the new result [GRAPHICS] where gamma is Euler's constant. New rational series for the Euler constant and the "alternating Euler constant" ln(4/pi) are given.

引用

页码：253 / 264

页数：12

共 23 条

[1] Abramowitz M., 1964, HDB MATH FUNCTIONS
[2] [Anonymous], 1990, COURSE MODERN ANAL
[3] [Anonymous], ADV COMBINATORICS
[4] EULER AND ZETA-FUNCTION
AYOUB, R
[J]. AMERICAN MATHEMATICAL MONTHLY, 1974, 81 (10) : 1067 - 1086
[5] BAILEY DH, 2007, COMPUTER ASSISTED DI, P27
[6] SOME SPECIAL INTEGRALS
BEUMER, MG
[J]. AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (07) : 645 - &
[7] BOROS G, 2004, IRRESISTIBLE INTEGRA, P245
[8] ON AN INTRIGUING INTEGRAL AND SOME SERIES RELATED TO ZETA(4)
BORWEIN, D
BORWEIN, JM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (04) : 1191 - 1198
[9] BOWMAN F, 2002, J LOND MATH SOC, V22, P172
[10] On some log-cosine integrals related to ζ(3), ζ(4), and ζ(6)
Coffey, MW
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 159 (02) : 205 - 215

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