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Matching Procedure for the Sixth Painlevé Equation (May 2006)

Published 7 Oct 2010 in math.CA, math-ph, and math.MP | (1010.1952v1)

Abstract: We present a constructive procedure to obtain the critical behavior of Painleve' VI transcendents and solve the connection problem. This procedure yields two and one parameter families of solutions, including trigonometric and logarithmic behaviors, and three classes of solutions with Taylor expansion at a critical point.

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