3 citations · 3 across the 6 of their papers we have counts for
6 papers
Diagonals in Riordan matrices and applications
Gi-Sang Cheon, Ana Luzón, Manuel A. Morón +1
We introduce a method for describing Riordan matrices via recurrence relations along their diagonals. This provides a new structural description that complements the classical row-…
Riordan pattern's quest within simplicial complexes
Pedro J. Chocano, Ana Luzón, Manuel A. Morón +1
The aim of this paper is twofold. First, we demonstrate how Riordan matrices can be employed to connect well-known concepts in geometric combinatorics, such as -vectors, -vec…
Differential equations in Ward's calculus
Ana Luzón, Manuel A. Morón, José L. Ramírez
In this paper we solve some differential equations in the derivative in Ward's sense. We use a special metric in the formal power series ring $\K[[x]]$. The solutions of that…
Characteristic Curves and the exponentiation in the Riordan Lie group: A connection through examples
Pedro J. Chocano, Ana Luzón, Manuel Alonso Morón +1
We point out how to use the classical characteristic method, that is used to solve quasilinear PDE's, to obtain the matrix exponential of some lower triangle infinite matrices. We…
Commutators and commutator subgroups of the Riordan group
Ana Luzón, Manuel A. Morón, Luis Felipe Prieto-Martínez
We calculate the derived series of the Riordan group. To do that, we study a nested sequence of its subgroups, herein denoted by . By means of this sequence, we first…
Pascal triangle, Stirling numbers and the unique invariance of the Euler characteristic
Ana Luzón, Manuel A. Morón
We use some basic properties of binomial and Stirling numbers to prove that the Euler characteristic is, essentially, the unique numerical topological invariant for compact polyhed…