Explicit error bound of the elliptic asymptotics for the first Painlevé transcendents

Shun Shimomura

Published 2023-07-27Version 1

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 $-1$.