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
@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/}
}
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/