An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter
Classical Analysis and ODEs
2022-05-09 v1 Analysis of PDEs
Abstract
The Voros connection formula for WKB solutions to the Airy equation with a large parameter is proved by using cubic equations. Some parts of the results are generalized to the Pearcey system, which is a two-variable version of the Airy equation, is given.
Keywords
Cite
@article{arxiv.2205.02988,
title = {An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter},
author = {Takashi Aoki and Takao Suzuki and Shofu Uchida},
journal= {arXiv preprint arXiv:2205.02988},
year = {2022}
}
Comments
18 pages, 11 figures