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Rational Solutions of the Painleve' VI Equation | | M. Mazzocco
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24 Jul 2000 | | Journal: | J. Phys. A: Math. Gen. 34 (2001) 2281-2294 | | Subject: | Exactly Solvable and Integrable Systems; Classical Analysis and ODEs | nlin.SI math.CA | | Abstract: | In this paper, we classify all values of the parameters $alpha$, $eta$, $gamma$ and $delta$ 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. | | Source: | arXiv, nlin.SI/0007036 | | Services: | Forum | Review | PDF | Favorites | |
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