4 papers · 1 filter
Roots in the substitution group and in the group of Riordan matrices with ones in the main diagonal
Jorge Calero-Sanz, Luis Felipe Prieto-Martínez
We investigate the existence and uniqueness of iterative roots of order within the substitution group of formal power series -- with coefficients in a commutati…
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…
Bi-infinite Riordan matrices: a matricial approach to multiplication and composition of Laurent series
Luis Felipe Prieto-Martínez, Javier Rico
We propose and investigate a bi-infinite matrix approach to the multiplication and composition of formal Laurent series. We generalize the concept of Riordan matrix to this bi-infi…
On the concept of center for geometric objects and related problems
M. Magdalena Martínez-Rico, L. Felipe Prieto-Martínez, R. Sánchez-Cauce
In this work, we review the concept of center of a geometric object as an equivariant map, unifying and generalizing different approaches followed by authors such as C. Kimberling…