English

The Pascal matrix in the multivariate Riordan group

Group Theory 2026-05-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2605.08892,
  title  = {The Pascal matrix in the multivariate Riordan group},
  author = {Helena Cobo},
  journal= {arXiv preprint arXiv:2605.08892},
  year   = {2026}
}
R2 v1 2026-07-01T12:59:51.841Z