On Abel's Identity
Combinatorics
2025-11-05 v1 Classical Analysis and ODEs
Abstract
We provide a natural duality that matches, in reverse order, the coefficients of the characteristic polynomial of the Maurer-Cartan of the Wronskian matrix with the coefficients of the original differential equation. Abel's identity is recovered as a corollary.
Keywords
Cite
@article{arxiv.2511.02432,
title = {On Abel's Identity},
author = {Mehrzad Ajoodanian},
journal= {arXiv preprint arXiv:2511.02432},
year = {2025}
}