Relation between the hypergeometric function and WKB solutions (Microlocal Analysis and Singular Perturbation Theory)
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- アオキ, タカシ
- School of Science and Engineering, Kindai University
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- タカハシ, トシノリ
- Interdisciplinary Graduate School of Science and Engineering, Kindai University
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- タンダ, ミカ
- Kansai Medical University
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説明
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.
収録刊行物
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- 数理解析研究所講究録別冊
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数理解析研究所講究録別冊 B61 1-7, 2017-01
Research Institute for Mathematical Sciences, Kyoto University
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詳細情報 詳細情報について
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- CRID
- 1050564288413957504
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- NII論文ID
- 120006715353
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- NII書誌ID
- AA12196120
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- ISSN
- 18816193
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- HANDLE
- 2433/243623
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- CiNii Articles