English

First order algebraic differential equations of genus zero

Complex Variables 2017-06-07 v1

Abstract

We utilise recent results about the transcendental solutions to Riccati differential equations to provide a comprehensive description of the nature of the transcendental solutions to algebraic first order differential equations of genus zero.

Keywords

Cite

@article{arxiv.1602.02512,
  title  = {First order algebraic differential equations of genus zero},
  author = {Norbert Steinmetz},
  journal= {arXiv preprint arXiv:1602.02512},
  year   = {2017}
}
R2 v1 2026-06-22T12:45:18.031Z