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Matching Procedure for the Sixth Painlevé Equation (May 2006)

TitleMatching Procedure for the Sixth Painlevé Equation (May 2006)
Publication TypeJournal Article
Year of Publication2006
AuthorsGuzzetti, D
JournalJournal of Physics A: Mathematical and General, Volume 39, Issue 39, 29 September 2006, Article numberS02, Pages 11973-12031

We present a constructive procedure to obtain the critical behavior of\r\nPainleve\' VI transcendents and solve the connection problem. This procedure\r\nyields two and one parameter families of solutions, including trigonometric and\r\nlogarithmic behaviors, and three classes of solutions with Taylor expansion at\r\na critical point.


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