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$r-$Bell polynomials in combinatorial Hopf algebras (1607.03651v1)
Published 13 Jul 2016 in math.CO, cs.IT, and math.IT
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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