Rational solutions of the Painlevé VI equation

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, , Citation M Mazzocco 2001 J. Phys. A: Math. Gen. 34 2281 DOI 10.1088/0305-4470/34/11/320

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1 Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, UK

Dates

  1. Received 24 July 2000

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0305-4470/34/11/2281

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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