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Rational Solutions of the Painleve' VI Equation

M. Mazzocco

nlin.SIarXiv:nlin/0007036

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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