The Elliptic Representation of the General Painlev\'e 6 Equation
Complex Variables
2012-04-17 v2 Mathematical Physics
Classical Analysis and ODEs
Functional Analysis
math.MP
Abstract
We study the analytic properties and the critical behavior of the elliptic representation of solutions of the Painlev\'e 6 equation. We solve the connection problem for elliptic representation in the generic case and in a non-generic case equivalent to WDVV equations of associativity.
Cite
@article{arxiv.math/0108073,
title = {The Elliptic Representation of the General Painlev\'e 6 Equation},
author = {Davide Guzzetti},
journal= {arXiv preprint arXiv:math/0108073},
year = {2012}
}
Comments
60 pages; Latex; 3 figures. The statements of theorems have been simplified