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
@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/}
}
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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/