On the Euler--Mascheroni Constant
Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 695-701.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Mots-clés : Euler–Mascheroni constant
Keywords: asymptotic expansion for the Euler–Mascheroni constant, two-sided estimates for the Euler–Mascheroni constant.
@article{MZM_2013_94_5_a5,
     author = {J. J. Ma\v{c}ys},
     title = {On the {Euler--Mascheroni} {Constant}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {695--701},
     publisher = {mathdoc},
     volume = {94},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a5/}
}
TY  - JOUR
AU  - J. J. Mačys
TI  - On the Euler--Mascheroni Constant
JO  - Matematičeskie zametki
PY  - 2013
SP  - 695
EP  - 701
VL  - 94
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a5/
LA  - ru
ID  - MZM_2013_94_5_a5
ER  - 
%0 Journal Article
%A J. J. Mačys
%T On the Euler--Mascheroni Constant
%J Matematičeskie zametki
%D 2013
%P 695-701
%V 94
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a5/
%G ru
%F MZM_2013_94_5_a5
J. J. Mačys. On the Euler--Mascheroni Constant. Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 695-701. http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a5/

[1] E. W. Weisstein, Euler–Mascheroni constant, Math-World. A Wolfram Web Resource, 01.06.2010 http://en.mathworld.wolfram.com/Euler-MascheroniConstant.html

[2] Euler–Mascheroni constant, Wikipedia, 31.05.2010 constant} http://en.wikipedia.org/wiki/Euler-Mascheroni_{

[3] G. M. Fikhtengolts, Kurs differentsialnogo i integralnogo ischisleniya, V 3-kh t. T. 2, Fizmatlit, M., 2001 | MR | Zbl

[4] J. J. Mačys, “On the Euler–Mascheroni constant”, Matematika ir matematinis modeliavimas, 4 (2008), 1–6 (in Lithuanian)