The Borel transform of the WKB solution to the Pearcey system
Classical Analysis and ODEs
2023-03-07 v1 Analysis of PDEs
Abstract
We study the system of partial differential equations which characterizes the Pearcey integral from the viewpoint of the exact WKB analysis. It is shown that the Borel transform of the WKB solutions to the system can be written as a linear combination of the branches of an algebraic function of degree . Moreover, some connection formulas for the system are given.
Keywords
Cite
@article{arxiv.2303.02694,
title = {The Borel transform of the WKB solution to the Pearcey system},
author = {Takashi Aoki and Takao Suzuki and Shofu Uchida},
journal= {arXiv preprint arXiv:2303.02694},
year = {2023}
}
Comments
22 pages, 15 figures