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A new approach to the r-Whitney numbers by using combinatorial differential calculus
ArticleAbstract: In the present article we introduce two new combinatorial interpretations of the r-Whitney numbers oPalabras claves:differential operators, r-Dowling polynomial, r-Whitney numberAutores:Miguel A. Mendez, Ramírez J.L.Fuentes:scopusEquivariant representations of the symmetric groups
ArticleAbstract:Palabras claves:Autores:De Chela D., Miguel A. MendezFuentes:scopusKoszul duality for monoids and the operad of enriched rooted trees
ArticleAbstract: We introduce here the notion of Koszul duality for monoids in the monoidal category of species withPalabras claves:c-Monoids, Enriched trees, Koszul duality, Operads, speciesAutores:Miguel A. MendezFuentes:scopusTensor species and symmetric functions
ArticleAbstract: An equivariant representation of the symmetric group S(n) (equivariant representation from here on)Palabras claves:plethysm, representations, species, symmetric groupAutores:Miguel A. MendezFuentes:scopusThe asymptotic expansion for n! and the Lagrange inversion formula
ArticleAbstract: We obtain an explicit simple formula for the coefficients of the asymptotic expansion for the factorPalabras claves:Asymptotic expansions, Gamma function, Lagrange inversion formula, Stirling numbersAutores:Brassesco S., Miguel A. MendezFuentes:scopusThe umbral calculus of symmetric functions
ArticleAbstract:Palabras claves:Autores:Miguel A. MendezFuentes:scopusMonops, monoids and operads: The combinatorics of Sheffer polynomials
ArticleAbstract: We introduce a new algebraic construction, monop, that combines monoids (with respect to the productPalabras claves:Autores:Lamoneda R.S., Miguel A. MendezFuentes:scopusMultisets and the combinatorics of symmetrical functions
ArticleAbstract:Palabras claves:Autores:Miguel A. MendezFuentes:scopusShift-plethysm, hydra continued fractions, and m-distinct partitions
ArticleAbstract: We introduce the hydra continued fractions, as a generalization of the Rogers–Ramanujan continued frPalabras claves:Autores:Miguel A. MendezFuentes:scopusShift-plethystic trees and Rogers–Ramanujan identities
ArticleAbstract: By studying non-commutative series in an infinite alphabet, we introduce shift-plethystic trees andPalabras claves:Integer compositions, Non-commutative series, Rogers–Ramanujan identitiesAutores:Miguel A. MendezFuentes:scopus