On Abel's Identity

2025/11/04 by Ajoodanian, Mehrzad · 1 citation
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Polynomial and algebraic computation

paper · doi:10.48550/arxiv.2511.02432

openalex publication_date 2025/11/04 · openalex created_date 2025/11/06 · openalex updated_date 2026/07/28

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.

Cited by

• A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry

Related

• Outcomes of the Abel Identity
• Abel's Functional Equation and Interrelations
• The Abel-Zeilberger Algorithm
• A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations
• Weak and strong composition conditions for the Abel differential equation