32 citations · 36 across the 5 of their papers we have counts for
5 papers · 1 filter
Bell polynomials in combinatorial Hopf algebras
Ammar Aboud, Jean-Paul Bultel, Ali Chouria +2
Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities, etc.…
Dirichlet convolution and enumeration of pyramid polycubes
Christophe Carré, Noemie Debroux, Matthieu Deneufchatel +4
We investigate the enumeration of two families of polycubes, namely pyramids and espaliers, in connection with the multi-indexed Dirichlet convolution
Word symmetric functions and the Redfield-Pólya
Jean-Gabriel Luque, Ali Chouria, Jean-Paul Bultel +1
We give noncommutative versions of the Redfield-Pólya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
Overpartition pairs and two classes of basic hypergeometric series
Jeremy Lovejoy, Olivier Mallet
We study the combinatorics of two classes of basic hypergeometric series. We first show that these series are the generating functions for certain overpartition pairs defined by fr…
Overpartitions, lattice paths and Rogers-Ramanujan identities
Sylvie Corteel, Olivier Mallet
We extend partition-theoretic work of Andrews, Bressoud, and Burge to overpartitions, defining the notions of successive ranks, generalized Durfee squares, and generalized lattice…