$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths
Combinatorics
2025-05-23 v1
Abstract
In this note, we show how to define certain Riordan arrays, that we call the Fuss-Catalan-Riordan arrays, by means of a special family of -orthogonal polynomials. We relate the Fuss-Catalan Riordan arrays to the Fuss Catalan numbers, and to certain lattice paths. We emphasise the role of the production matrices of the Riordan arrays that we encounter in our study.
Cite
@article{arxiv.2505.16718,
title = {$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths},
author = {Paul Barry},
journal= {arXiv preprint arXiv:2505.16718},
year = {2025}
}
Comments
29 pages