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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 Airy zeta function ： ウィキペディア英語版 Airy zeta function In mathematics, the Airy zeta function, studied by , is a function analogous to the Riemann zeta function and related to the zeros of the Airy function. ==Definition== The Airy function :$\backslash mathrm(x)\; =\; \backslash frac\; \backslash int\_0^\backslash infty\; \backslash cos\backslash left(\backslash tfrac13t^3\; +\; xt\backslash right)\backslash ,\; dt,$ is positive for positive ''x'', but oscillates for negative values of ''x''; the sequence of values of ''x'' for which Ai(''x'') = 0, sorted by their absolute values, are called the Airy zeros and are denoted ''a''1, ''a''2, ... The Airy zeta function is the function defined from this sequence of zeros by the series :$\backslash zeta\_^\; \backslash frac.$ This series converges when the real part of ''s'' is greater than 3/2, and may be extended by analytic continuation to other values of ''s''. 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「Airy zeta 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.