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Linear differential relations satisfied by Wirtinger integrals
https://kitami-it.repo.nii.ac.jp/records/8189
https://kitami-it.repo.nii.ac.jp/records/818995e96b26-5c24-4723-be35-15ee0a349628
| 名前 / ファイル | ライセンス | アクション |
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2009_Linear differential relations satisfied by Wirtinger integrals.pdf (209.3 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2016-06-23 | |||||||
| タイトル | ||||||||
| タイトル | Linear differential relations satisfied by Wirtinger integrals | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Wirtinger integral | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | theta function | |||||||
| 資源タイプ | ||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
| タイプ | journal article | |||||||
| アクセス権 | ||||||||
| アクセス権 | open access | |||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| 著者 |
WATANABE, Humihiko
× WATANABE, Humihiko
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| 著者別名 | ||||||||
| 識別子Scheme | WEKO | |||||||
| 識別子 | 44870 | |||||||
| 識別子Scheme | KAKEN | |||||||
| 識別子URI | https://nrid.nii.ac.jp/ja/nrid/1000020274433 | |||||||
| 識別子 | 20274433 | |||||||
| 姓名 | 渡辺, 文彦 | |||||||
| 言語 | ja | |||||||
| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | We will derive linear differential relations satisfied by Wirtinger integrals by exploiting classical formulas of Jacobi’s theta functions. Although Wirtinger integrals are related to Gauss’ hypergeometric functions, we will do that without referring to Gauss’ hypergeometric differential equation. We believe that our method to derive them will be applicable to another definite integral defined on the torus which has as integrand a power product of not necessarily four theta functions, and which is not a lift of any definite integral defined on the complex projective line. |
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| 書誌情報 |
Hokkaido Math. J. 巻 38, p. 83-95, 発行日 2007 |
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| 権利 | ||||||||
| 権利情報 | c2009 Hokkaido University, Department of Mathematics | |||||||
| 出版者 | ||||||||
| 出版者 | Hokkaido University, Department of Mathematics | |||||||
| 関連サイト | ||||||||
| URL | http://projecteuclid.org/euclid.hokmj/1248787013 | |||||||
| 著者版フラグ | ||||||||
| 言語 | en | |||||||
| 値 | publisher | |||||||
| 出版タイプ | ||||||||
| 出版タイプ | VoR | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
