Mathematics – Classical Analysis and ODEs
Scientific paper
2010-10-07
J.Math.Phys.Anal.Geom. 4 (2001) 293-377
Mathematics
Classical Analysis and ODEs
15 figures, 67 pages
Scientific paper
We find a class of solutions of the sixth Painleve' equation appearing in the theory of WDVV equations. This class covers almost all the monodromy data associated to the equation, except one point in the space of the data. We find the critical behavior close to the critical points in terms of two parameters and solve the connection problem. We also study the critical behavior of Painleve' transcendents in the Elliptic representation.
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