The Pascal matrix in the multivariate Riordan group

Fuente: arXiv
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Autore principale: Cobo, Helena
Natura: Preprint
Pubblicazione: 2026
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author Cobo, Helena
author_facet Cobo, Helena
contents We generalize the concept of Pascal matrices to matrices associated with sets of points by considering multidimensional binomial coefficients as entries. We study their properties and prove that the infinite matrix associated with the set vectors with integral coordinates is in fact an element of the multivariate Riordan group.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08892
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Pascal matrix in the multivariate Riordan group
Cobo, Helena
Group Theory
We generalize the concept of Pascal matrices to matrices associated with sets of points by considering multidimensional binomial coefficients as entries. We study their properties and prove that the infinite matrix associated with the set vectors with integral coordinates is in fact an element of the multivariate Riordan group.
title The Pascal matrix in the multivariate Riordan group
topic Group Theory
url https://arxiv.org/abs/2605.08892