5 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…
A combinatorial description of shape theory
Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal
We give a combinatorial description of shape theory using finite topological -spaces (finite partially ordered sets). This description may lead to a sort of computational shap…