English

Three-dimensional Riordan arrays and bivariate Laguerre polynomials

Combinatorics 2025-03-07 v1

Abstract

We show how to represent various families of Laguerre polynomials by the three-dimensional Riordan arrays, and use the fundamental theorem of Riordan arrays to obtain the corresponding exponential generating functions.

Keywords

Cite

@article{arxiv.2503.04663,
  title  = {Three-dimensional Riordan arrays and bivariate Laguerre polynomials},
  author = {Nikolai A. Krylov},
  journal= {arXiv preprint arXiv:2503.04663},
  year   = {2025}
}

Comments

15 pages, 1 figure

R2 v1 2026-06-28T22:09:34.604Z