A new identity for complete Bell polynomials based on a formula of Ramanujan
Journal of integer sequences, Tome 12 (2009) no. 3
Let $p(n)$ be the number of partitions of $n$. In this paper, we give a new identity for complete Bell polynomials based on a sequence related to the generating function of $p$(5n+4) established by Srinivasa Ramanujan.
Classification :
05A16, 05A17, 11P81
Keywords: Bell polynomials, integer partition, Ramanujan's formula
Keywords: Bell polynomials, integer partition, Ramanujan's formula
@article{JIS_2009__12_3_a1,
author = {Bouroubi, Sadek and Tani, Nesrine Benyahia},
title = {A new identity for complete {Bell} polynomials based on a formula of {Ramanujan}},
journal = {Journal of integer sequences},
year = {2009},
volume = {12},
number = {3},
zbl = {1259.05014},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a1/}
}
Bouroubi, Sadek; Tani, Nesrine Benyahia. A new identity for complete Bell polynomials based on a formula of Ramanujan. Journal of integer sequences, Tome 12 (2009) no. 3. http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a1/