An asymptotic expansion for the Bernoulli numbers of the second kind
Journal of integer sequences, Tome 14 (2011) no. 4
In this paper we derive a complete asymptotic series for the Bernoulli numbers of the second kind, and provide a recurrence relation for the coefficients.
Classification :
11B83, 41A60
Keywords: Bernoulli numbers of the second kind, asymptotic expansions, gamma function
Keywords: Bernoulli numbers of the second kind, asymptotic expansions, gamma function
Nemes, Gergő. An asymptotic expansion for the Bernoulli numbers of the second kind. Journal of integer sequences, Tome 14 (2011) no. 4. http://geodesic.mathdoc.fr/item/JIS_2011__14_4_a7/
@article{JIS_2011__14_4_a7,
author = {Nemes, Gerg\H{o}},
title = {An asymptotic expansion for the {Bernoulli} numbers of the second kind},
journal = {Journal of integer sequences},
year = {2011},
volume = {14},
number = {4},
zbl = {1229.11037},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_4_a7/}
}