The hypergeometric function, the confluent hypergeometric function and WKB solutions
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- Aoki Takashi
- Department of Mathematics, Kindai University
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- Takahashi Toshinori
- Institute for Fundamental Sciences, Faculty of Science and Engineering, Setsunan University
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- Tanda Mika
- Department of Mathematical Sciences, Kwansei Gakuin University
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<p>Relations between the hypergeometric function with a large parameter and Borel sums of WKB solutions of the hypergeometric differential equation with the large parameter are established. The confluent hypergeometric function is also investigated from the viewpoint of exact WKB analysis. As applications, asymptotic expansion formulas for those classical special functions with respect to parameters are obtained.</p>
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｍａｔｈｅｍａｔｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 73 (4), 1019-1062, 2021
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390008321595298048
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- NII論文ID
- 130008106899
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
- http://id.crossref.org/issn/00255645
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- NDL書誌ID
- 031756534
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- 抄録ライセンスフラグ
- 使用不可