English

Exceptional solutions to the Painlev\'e VI equation

Classical Analysis and ODEs 2018-01-23 v1 Complex Variables

Abstract

We find all solutions of the Painlev\'e VI equations with the property that they have no zeros, no poles, no 1-points and no fixed points.

Cite

@article{arxiv.1602.04694,
  title  = {Exceptional solutions to the Painlev\'e VI equation},
  author = {Alexandre Eremenko and Andrei Gabrielov and Aimo Hinkkanen},
  journal= {arXiv preprint arXiv:1602.04694},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-22T12:50:26.362Z