$r-$Bell polynomials in combinatorial Hopf algebras

July 13, 2016 ยท The Ethereal ยท ๐Ÿ› arXiv.org

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Ali Chouria, Jean-Gabriel Luque arXiv ID 1607.03651 Category math.CO: Combinatorics Cross-listed cs.IT Citations 11 Venue arXiv.org Last Checked 2 months ago
Abstract
We introduce partial $r$-Bell polynomials in three combinatorial Hopf algebras. We prove a factorization formula for the generating functions which is a consequence of the Zassenhauss formula.
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