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arXiv · 2307.14639

Explicit error term of the elliptic asymptotics for the first Painlev\'e transcendents

Shun Shimomura
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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 $-1$.

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Shun Shimomura. 2023-07-27. Explicit error term of the elliptic asymptotics for the first Painlev\'e transcendents. https://arxiv.org/abs/2307.14639

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