Exponential Riordan Arrays and Jacobi elliptic functions
Combinatorics
2021-05-19 v2
Abstract
This paper establishes relationships between elliptic functions and Riordan arrays leading to new classes of Riordan arrays which here are called elliptic Riordan arrays. In particular, the case of Riordan arrays derived from Jacobi elliptic functions that are parameterized by the elliptic modulus will be treated here. Some concrete examples of such Riordan arrays are presented via a recursive formula.
Cite
@article{arxiv.1704.07695,
title = {Exponential Riordan Arrays and Jacobi elliptic functions},
author = {Arnauld Mesinga Mwafise and Paul Barry},
journal= {arXiv preprint arXiv:1704.07695},
year = {2021}
}