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.
RésuméLes r−polynômes de Bell dans des algèbres de Hopf combinatoires Nous définissons des polynômes r-Bell partiels dans trois algèbres de Hopf combinatoires. Nous prouvons une formule de factorisation pour les fonctions génératrices qui est une conséquence de la formule de Zassenhauss.
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