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The Elliptic Representation of the General Painlevé 6 Equation

Davide Guzzetti

math.CVarXiv:math/0108073

Abstract

We study the analytic properties and the critical behavior of the elliptic representation of solutions of the Painlevé 6 equation. We solve the connection problem for elliptic representation in the generic case and in a non-generic case equivalent to WDVV equations of associativity.

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