A new interpretation of Jimbo's formula for Painlev\'e VI
Classical Analysis and ODEs
2024-03-12 v2
Abstract
In this paper, we first give a new interpretation of Jimbo's boundary condition for the generic Painlev\'e VI transcendents, as the shrinking phenomenon in long time behaviour of the Jimbo-Miwa-Mori-Sato equation with rank . We then interpret Jimbo's monodromy formula from the viewpoint of the isomonodromy deformation with respect to irregular singularities.
Keywords
Cite
@article{arxiv.2401.16043,
title = {A new interpretation of Jimbo's formula for Painlev\'e VI},
author = {Zikang Wang and Yuancheng Xie and Xiaomeng Xu},
journal= {arXiv preprint arXiv:2401.16043},
year = {2024}
}
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22 pages