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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Elliptic gamma function ： ウィキペディア英語版 Elliptic gamma function In mathematics, the elliptic gamma function is a generalization of the q-Gamma function, which is itself the q-analog of the ordinary Gamma function. It is closely related to a function studied by , and can be expressed in terms of the triple gamma function. It is given by :$\backslash Gamma\; (z;p,q)\; =\; \backslash prod\_^\backslash infty\; \backslash prod\_^\backslash infty$ \frac/z}. It obeys several identities: :$\backslash Gamma(z;p,q)=\backslash frac\backslash ,$ :$\backslash Gamma(pz;p,q)=\backslash theta\; (z;q)\; \backslash Gamma\; (z;\; p,q)\backslash ,$ and :$\backslash Gamma(qz;p,q)=\backslash theta\; (z;p)\; \backslash Gamma\; (z;\; p,q)\backslash ,$ where θ is the q-theta function. When $p=0$, it essentially reduces to the infinite q-Pochhammer symbol: :$\backslash Gamma(z;0,q)=\backslash frac.$ ==References== * * * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Elliptic gamma function」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.