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arXiv · 2205.02988

An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter

Takashi Aoki·Takao Suzuki·Shofu Uchida
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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.

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Takashi Aoki, Takao Suzuki, Shofu Uchida. 2022-05-06. An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter. https://arxiv.org/abs/2205.02988

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