Rational Solutions of the Painleve' VI Equation
arXiv:nlin/0007036 · doi:10.1088/0305-4470/34/11/320
Abstract
In this paper, we classify all values of the parameters $α$, $β$, $γ$ and $δ$ of the Painlevé VI equation such that there are rational solutions. We give a formula for them up to the birational canonical transformations and the symmetries of the Painlevé VI equation.
13 pages, 1 Postscript figure Typos fixed