Geodesic
Identities related to integer partitions and complete Bell polynomials
Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 158-168

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

Using the (universal) Theorem for the integer partitions and the $q$-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions of a given integer into $k$ parts and the number of partitions of $n$ into a given number of parts.
Keywords: complete Bell polynomials
Mots-clés : integer partitions, $q$-binomial Theorem. 
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Miloud Mihoubi; Hacène Belbachir. Identities related to integer partitions and complete Bell polynomials. Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 158-168. http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a9/