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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B61-10.pdf | 5 MB | Adobe PDF | 見る/開く |
| タイトル: | On parametric Stokes phenomena of higher order linear ODEs (Microlocal Analysis and Singular Perturbation Theory) |
| 著者: | Sasaki, Shinji |
| 著者名の別形: | ササキ, シンジ |
| キーワード: | 34M40 34M60 34E05 exact WKB analysis parametric Stokes phenomenon new Stokes curve |
| 発行日: | Jan-2017 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B61 |
| 開始ページ: | 163 |
| 終了ページ: | 180 |
| 抄録: | We study an example of parametric Stokes phenomena of higher order linear ODEs with a large parameter, taking (1, 4)-hypergeometric equation as a concrete example. Parametric Stokes phenomena occur when degenerate configuration of Stokes curves appears and degenerate configuration of Stokes curves of higher order equations is described by bidirectional binary trees (which we call "Stokes trees" for short) introduced by Honda. In this paper we investigate the situation where a Stokes tree with three edges appears and present an explicit formula describing the parametric Stokes phenomenon in this situation. |
| 記述: | "Microlocal Analysis and Singular Perturbation Theory". October 5～9, 2015. edited by Yoshitsugu Takei, Takashi Aoki, Naofitmi Honda, Kiyoomi Kataoka and Tatsuya Koike. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243632 |
| 出現コレクション: | B61 Microlocal Analysis and Singular Perturbation Theory |
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