r-Bell polynomials in combinatorial Hopf algebras
Copyright policy )r-Bell polynomials in combinatorial Hopf algebras
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.
- Normandie Université France
- Institut National des Sciences Appliquées de Rouen France
- University of Rouen France
- Intelligence and National Security Alliance United States
- University of Le Havre France
\(r\)-Bell polynomials, FOS: Computer and information sciences, combinatorial Hopf algebras, Mathematics(all), 11B73, 05E05, 16T05, Computer Science - Information Theory, Information Theory (cs.IT), Connections of Hopf algebras with combinatorics, Bell and Stirling numbers, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Partitions of sets, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], FOS: Mathematics, Mathematics - Combinatorics, Zassenhauss formula, Combinatorics (math.CO)
\(r\)-Bell polynomials, FOS: Computer and information sciences, combinatorial Hopf algebras, Mathematics(all), 11B73, 05E05, 16T05, Computer Science - Information Theory, Information Theory (cs.IT), Connections of Hopf algebras with combinatorics, Bell and Stirling numbers, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], Partitions of sets, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], FOS: Mathematics, Mathematics - Combinatorics, Zassenhauss formula, Combinatorics (math.CO)
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