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The Elliptic Representation of the General Painlevé 6 Equation

TitleThe Elliptic Representation of the General Painlevé 6 Equation
Publication TypeJournal Article
Year of Publication2002
AuthorsGuzzetti, D
JournalCommunications on Pure and Applied Mathematics, Volume 55, Issue 10, October 2002, Pages 1280-1363
Abstract

We study the analytic properties and the critical behavior of the elliptic\r\nrepresentation of solutions of the Painlev\\\'e 6 equation. We solve the\r\nconnection problem for elliptic representation in the generic case and in a\r\nnon-generic case equivalent to WDVV equations of associativity.

URLhttp://hdl.handle.net/1963/6523
DOI10.1002/cpa.10045

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