Explicit error term of the elliptic asymptotics for the first Painlev\'e transcendents
Classical Analysis and ODEs
2024-09-16 v2
Abstract
For the first Painlev\'e transcendents Kitaev established an asymptotic representation in terms of the Weierstrass pe-function in cheese-like strips near the point at infinity. We present an explicit error bound of this asymptotic expression, which leads to the order estimate of exponent .
Keywords
Cite
@article{arxiv.2307.14639,
title = {Explicit error term of the elliptic asymptotics for the first Painlev\'e transcendents},
author = {Shun Shimomura},
journal= {arXiv preprint arXiv:2307.14639},
year = {2024}
}