English

A note on the connection problem of some special Painlev\'e V functions

Classical Analysis and ODEs 2021-03-12 v1

Abstract

As a new application of the method of "uniform asymptotics" proposed by Bassom, Clarkson, Law and McLeod, we provide a simpler and more rigorous proof of the connection formulas of some special solutions of the fifth Painlev\'e equation, which have been established earlier by Andreev and Kitaev.

Cite

@article{arxiv.1601.00728,
  title  = {A note on the connection problem of some special Painlev\'e V functions},
  author = {Wen-Gao Long and Zhao-Yun Zeng and Jian-Rong Zhou},
  journal= {arXiv preprint arXiv:1601.00728},
  year   = {2021}
}
R2 v1 2026-06-22T12:22:58.656Z