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植田 優基
ウエダ ユウキ UEDA Yuki 所 属 旭川校 職 名 准教授 |
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| 言語種別 | 日本語 |
| 発行・発表の年月 | 2025/04/02 |
| 形態種別 | 学術雑誌 |
| 標題 | Higher-order asymptotic expansion with error estimate for the multidimensional Laplace's integral |
| 執筆形態 | 共著 |
| 掲載誌名 | arXiv:2504.01310 |
| 掲載区分 | 国外 |
| 著者・共著者 | Ikki Fukuda, Yoshiki Kagaya, Yuki Ueda |
| 概要 | We consider the asymptotic behavior of the multidimensional Laplace’s integral. On the asymptotic analysis for this integral, the so-called Laplace’s method or Laplace’s approximation introduced by
P.S. Laplace (1812) is well known. It has been developed in various forms over many years of study. In this paper, we derive a new formula for the higher-order asymptotic expansion of the multidimensional Laplace’s integral, with an error estimate, which generalizes previous results. |