English

Abel's Functional Equation and Interrelations

Classical Analysis and ODEs 2025-03-19 v3 Discrete Mathematics Combinatorics Number Theory

Abstract

Convex solutions A,B,I,JA,B,I,J of four Abel equations are numerically studied. We do not know exact formulas for any of these functions, but conjecture that A,BA,B and I,JI,J are closely related. [Corrigendum at end.]

Cite

@article{arxiv.2503.00579,
  title  = {Abel's Functional Equation and Interrelations},
  author = {Steven Finch},
  journal= {arXiv preprint arXiv:2503.00579},
  year   = {2025}
}

Comments

15 pages; 4 figures

R2 v1 2026-06-28T22:03:12.121Z