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Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations
https://kitami-it.repo.nii.ac.jp/records/8186
https://kitami-it.repo.nii.ac.jp/records/8186eb3a84e9-d8ce-4076-9193-664efaca1cd7
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
2007_Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations.pdf (211.3 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 | Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | hypergeometric function | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | monodromy | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | connection matrix | |||||||
| 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 | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | modular transformation | |||||||
| 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 | Two-by-two matrix functions, which are the lifts of the local solutions of the matrix hypergeometric differential equation of SL SL type at 0,1,∞ 0,1,∞ to the upper half plane by the lambda function, are introduced. Each component of these matrix functions is represented by a definite integral with a power product of theta functions as integrand, which we call in this paper Wirtinger integral. Transformations of the matrix functions under some modular transformations are established by exploiting classical formulas of theta functions. These are regarded as formulas of monodromy or connection of the hypergeometric function of Gauss. |
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| 書誌情報 |
Journal of the Mathematical Society of Japan 巻 59, 号 1, p. 113-126, 発行日 2007 |
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| 権利 | ||||||||
| 権利情報 | c2007 Mathematical Society of Japan | |||||||
| 出版者 | ||||||||
| 出版者 | Mathematical Society of Japan | |||||||
| 関連サイト | ||||||||
| URL | https://projecteuclid.org/euclid.jmsj/1180135503 | |||||||
| 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 | |||||||
