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  1. 学術雑誌掲載済論文
  2. 洋雑誌

Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations

https://kitami-it.repo.nii.ac.jp/records/8186
eb3a84e9-d8ce-4076-9193-664efaca1cd7
名前 / ファイル ライセンス アクション
2007_Transformation 2007_Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations.pdf (211.3 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2016-06-23
タイトル
言語 en
タイトル Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations
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

WEKO 42921

en WATANABE, Humihiko

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著者別名
姓名
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.
書誌情報 Journal of the Mathematical Society of Japan

巻 59, 号 1, p. 113-126, 発行日 2007
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
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
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