Matching Procedure for the Sixth Painlevé Equation (May 2006)

Details Matching Procedure for the Sixth Painlevé Equation (May 2006) Matching Procedure for the Sixth Painlevé Equation (May 2006)

2010-10-07

arxiv.org/abs/1010.1952v1

J. Phys A: Math.Gen. 39 (2006) 11973-12031

Mathematics

Classical Analysis and ODEs

57 pages

Scientific paper

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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