32 citations · 39 across the 10 of their papers we have counts for
10 papers
Shift-plethysm, Hydra continued fractions, and m-distinct partitions
Miguel Mendez
We introduce the hydra continued fractions, as a generalization of the Rogers-Ramanujan continued fractions, and give a combinatorial interpretation in terms of shift-plethystic tr…
Generalized Ordered Set Partitions
Beáta Bényi, Miguel Méndez, José L. Ramirez
In this paper, we consider ordered set partitions obtained by imposing conditions on the size of the lists, and such that the first elements are in distinct blocks, respectivel…
Shift-Plethystic Trees and Rogers-Ramanujan Identitites
Miguel A. Mendez
By studying non-commutative series in an infinite alphabet we introduce shift-plethystic trees and a class of integer compositions as new combinatorial models for the Rogers-Ramanu…
Restricted -Stirling Numbers and their Combinatorial Applications
Beáta Bényi, Miguel Méndez, José L. Ramírez +1
We study set partitions with distinguished elements and block sizes found in an arbitrary index set . The enumeration of these -partitions leads to the introduction o…
A New Approach to the -Whitney Numbers by Using Combinatorial Differential Calculus
José L. Ramírez, Miguel A. Méndez
In the present article we introduce two new combinatorial interpretations of the -Whitney numbers of the second kind obtained from the combinatorics of the differential operator…
Combinatorial differential operators in: Faà di Bruno formula, enumeration of ballot paths, enriched rooted trees and increasing rooted trees
Miguel A. Mendez
We obtain a differential equation for the enumeration of the path length of general increasing trees. By using differential operators and their combinatorial interpretation we give…