6 citations · 16 across the 8 of their papers we have counts for
8 papers
A Symbolic Treatment of Riordan Arrays
José Agapito, Ângela Mestre, Pasquale Petrullo +1
We approach Riordan arrays and their generalizations via umbral symbolic methods. This new approach allows us to derive fundamental aspects of the theory of Riordan arrays as immed…
On One-Parameter Catalan Arrays
José Agapito, Ângela Mestre, Pasquale Petrullo +1
We present a parametric family of Riordan arrays which are obtained by multiplying any Riordan array with a generalized Pascal array. In particular, we focus on some interesting pr…
Riordan arrays and applications via the classical umbral calculus
José Agapito, Ângela Mestre, Pasquale Petrullo +1
We use the classical umbral calculus to describe Riordan arrays. Here, a Riordan array is generated by a pair of umbrae, and this provides efficient proofs of several basic results…
Intersection Numbers of Polygon Spaces
José Agapito, Leonor Godinho
We study the intersection ring of the space $\M(α_1,...,α_m)$ of polygons in . We find homology cycles dual to generators of this ring and prove a recursion relation in (…
New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes
Jose Agapito, Leonor Godinho
We use a version of localization in equivariant cohomology for the norm-square of the moment map, described by Paradan, to give several weighted decompositions for simple polytopes…
Weighted Brianchon-Gram decomposition
José Agapito
We give in this note a weighted version of Brianchon-Gram's decomposition for a simple polytope. This weighted version is a direct consequence of the ordinary Brianchon-Gram formul…