Rational discrete analytic functions on a rhombic lattice
Complex Variables
2025-03-03 v1
Abstract
A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are rational with respect to this product is also described.
Cite
@article{arxiv.2312.04773,
title = {Rational discrete analytic functions on a rhombic lattice},
author = {Daniel Alpay and Zubayir Kazi and Mariana Tecalero and Dan Volok},
journal= {arXiv preprint arXiv:2312.04773},
year = {2025}
}