Equivalence of two canonical lists of elliptic functions
Complex Variables
2022-08-10 v1 Classical Analysis and ODEs
Exactly Solvable and Integrable Systems
Abstract
We establish a one-to-one correspondence between,on one hand the four types of transcendental meromorphic solutions of the autonomous Schwarzian differential equations which are elliptic,on the other hand the four binomial equations of Briot and Bouquet possessing an elliptic solution.
Keywords
Cite
@article{arxiv.2208.04470,
title = {Equivalence of two canonical lists of elliptic functions},
author = {Robert Conte and Liangwen Liao and Chengfa Wu},
journal= {arXiv preprint arXiv:2208.04470},
year = {2022}
}