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

Published 6 May 2022 in math.CA and math.AP | (2205.02988v1)

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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