English

Note on the Painlev\'e V tau-functions

Classical Analysis and ODEs 2014-11-19 v1

Abstract

We study some properties of tau-functions of an isomonodromic deformation leading to the fifth Painlev\'e equation. In particular, here is given an elementary proof of Miwa's formula for the logarithmic differential of a tau-function.

Keywords

Cite

@article{arxiv.1411.4661,
  title  = {Note on the Painlev\'e V tau-functions},
  author = {Yu. P. Bibilo and R. R. Gontsov},
  journal= {arXiv preprint arXiv:1411.4661},
  year   = {2014}
}

Comments

7 pages

R2 v1 2026-06-22T07:02:12.745Z