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Combinatorial approach to generalized Bell and Stirling numbers and boson normal ordering problem
ArticleAbstract: We consider the numbers arising in the problem of normal ordering of expressions in boson creation aPalabras claves:Autores:Blasiak P., Miguel A. Mendez, Penson K.A.Fuentes:scopusA combinatorial model for q-generalized Stirling and bell numbers
Conference ObjectAbstract: We describe a combinatorial model for the q-analogs of the generalized Stirling numbers in terms ofPalabras claves:Bell, Boson, Dual graded graphs, Q-analog, Rook numbers, StirlingAutores:Miguel A. Mendez, Rodriguez A.Fuentes:scopusA 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: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:scopusOn the arithmetic product of combinatorial species
ArticleAbstract: We introduce two new binary operations on combinatorial species; the arithmetic product and the modiPalabras claves:Arithmetic product, Combinatorial species, Euler product formula, Graph product, Partition meetAutores:Maia M., Miguel A. MendezFuentes:scopusSet operads in combinatorics and computer science
Book PartAbstract:Palabras claves:Autores:Miguel A. MendezFuentes:scopusWalks on directed graphs and matrix polynomials
ArticleAbstract: We give a matrix generalization of the family of exponential polynomials in one variable φk(x). OurPalabras claves:Umbral calculus; polynomials of binomial type; walks; digraphsAutores:Miguel A. MendezFuentes:scopusQ-analogs of the generalized Stirling and Bell numbers
ArticleAbstract: Generalized Stirling numbers appear in a natural way as the coefficients of the normal ordering of aPalabras claves:Autores:Miguel A. Mendez, Rodriguez A.Fuentes:scopusRestricted r-Stirling numbers and their combinatorial applications
ArticleAbstract: We study set partitions with r distinguished elements and block sizes found in an arbitrary index sePalabras claves:Combinatorial identities, Generalized Stirling numbers, Generating functions, Set partitionsAutores:Bényi B., Miguel A. Mendez, Ramírez J.L., Wakhare T.Fuentes:scopus