MENU

You are here

On the critical behavior, the connection problem and the elliptic representation of a Painleve\\\' VI equation

TitleOn the critical behavior, the connection problem and the elliptic representation of a Painleve\\\' VI equation
Publication TypeJournal Article
Year of Publication2001
AuthorsGuzzetti, D
JournalMath. Phys. Anal. Geom. 4 (2001) 293-377
Abstract

In this 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 describe the critical behavior close to the critical points in terms of two parameters and we find the relation among the parameters at the different critical points (connection problem). We also study the critical behavior of Painleve\\\' transcendents in the elliptic representation.

URLhttp://hdl.handle.net/1963/1293
DOI10.1023/A:1014265919008
Alternate JournalConnection problem and monodromy data for a class of solutions of the Sixth Painleve\\\' equation

Sign in