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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B61-01.pdf | 2.29 MB | Adobe PDF | 見る/開く |
| タイトル: | Relation between the hypergeometric function and WKB solutions (Microlocal Analysis and Singular Perturbation Theory) |
| 著者: | Aoki, Takashi Takahashi, Toshinori Tanda, Mika |
| 著者名の別形: | アオキ, タカシ タカハシ, トシノリ タンダ, ミカ |
| キーワード: | 33C05 34M60 34M40 hypergeometric differential equation hypergeometric function WKB solution 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: | 1 |
| 終了ページ: | 7 |
| 抄録: | The hypergeometric function has three parameters. In these parameters, a large parameter is introduced so that the three parameters are linear forms of the large parameter. Thus obtained function satisfies the hypergeometric differential equation with the large parameter and the equation has formal solutions called WKB solutions. In this announcement paper, the relation between the hypergeometric function and the Borel sum of WKB solutions is investigated. Proofs and details will be given in our forthcoming paper. |
| 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/2433/243623 |
| 出現コレクション: | B61 Microlocal Analysis and Singular Perturbation Theory |
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