On the Schlesinger transformations of the sixth Painlev\'e equation
Classical Analysis and ODEs
2014-06-26 v1
Abstract
Following the recent discovery of two new Schlesinger transformations (ST) for the sixth Painlev\'e equation, we give the interrelations between all the known STs. We thus isolate the unique one which at the same time conserves the independent variable and is not a product of other STs.
Cite
@article{arxiv.math/0103165,
title = {On the Schlesinger transformations of the sixth Painlev\'e equation},
author = {Robert Conte},
journal= {arXiv preprint arXiv:math/0103165},
year = {2014}
}
Comments
in French, LaTeX, 5 pages, to appear, Comptes rendus Acad. Sci. Paris