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Rational Solutions of the Painleve' VI Equation

M. Mazzocco
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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.

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M. Mazzocco. 2004-03-18. Rational Solutions of the Painleve' VI Equation. https://doi.org/10.1088/0305-4470%2F34%2F11%2F320

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