Sharp inequalities and asymptotic series of a product related to the Euler-Mascheroni constant

被引:1
作者
Chen, Chao-Ping [1 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454000, Henan Province, Peoples R China
关键词
Euler-Mascheroni constant; Inequality; Asymptotic expansion;
D O I
10.1016/j.jnt.2016.01.021
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We derive an asymptotic series related to the constant e(gamma), where gamma denotes the Euler Mascheroni constant. Based on the result obtained, we establish some sharp inequalities for e(gamma). (C) 2016 Published by Elsevier Inc.
引用
收藏
页码:314 / 323
页数:10
相关论文
共 10 条
[1]  
Alzer H, 1997, MATH COMPUT, V66, P373, DOI 10.1090/S0025-5718-97-00807-7
[2]  
[Anonymous], 1972, HDB MATH FUNCTIONS F
[3]  
Chen C.-P., 2015, RAMANUJAN J
[4]   Estimations of psi function and harmonic numbers [J].
Elezovic, Neven .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 :192-205
[5]  
Gradshteyn S., 2014, Table of Integrals, Series, and Products, V8th
[6]   Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent [J].
Guillera, Jesus ;
Sondow, Jonathan .
RAMANUJAN JOURNAL, 2008, 16 (03) :247-270
[7]  
Ser J, 1926, CR HEBD ACAD SCI, V182, P1075
[8]  
Sloane N.J.A., A N NUMBER PARTITION
[9]   A faster product for π and a new integral for ln π/2 [J].
Sondow, J .
AMERICAN MATHEMATICAL MONTHLY, 2005, 112 (08) :729-734
[10]  
Sondow J., 2003, PREPRINT