| 研究実績の概要 |
We have established the Borel summability of formal solutions for a broad class of higher-order linear ODEs with a large parameter. The problem of Borel summability for formal solutions of such equations has posed a longstanding challenge in the field of exact asymptotics. A manuscript summarising these results is currently under review. Furthermore, we investigated the resurgence properties of the incomplete gamma function in the transition region by analysing the asymptotics of the late coefficients in its asymptotic expansion. The findings have been published in the journal SIGMA. Prior to this paper, there has been no investigation in the existing literature regarding the resurgence properties of asymptotic expansions in transition regions.
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