翻訳と辞書 Words near each other ・ Mitterfeld ・ Mitterfels ・ Mitta Miraasu ・ Mitta Mitta ・ Mitta Mitta Airport ・ Mitta Mitta River ・ Mitta Mitta, New South Wales ・ Mitta Mitta, Victoria ・ Mitta United Football Club ・ Mittag ・ Mittag-Leffler distribution ・ Mittag-Leffler function ・ Mittag-Leffler Institute ・ Mittag-Leffler polynomials ・ Mittag-Leffler star ・ Mittag-Leffler summation ・ Mittag-Leffler's theorem ・ Mittag-Lefflerbreen ・ Mittagberg ・ Mittageisen ・ Mittageisen (band) ・ Mittaggüpfi ・ Mittaghorn ・ Mittaghorn (disambiguation) ・ Mittaghorn (Rawilpass) ・ Mittagong ・ Mittagong Formation ・ Mittagong Parish ・ Mittagong railway station ・ Mittagong Station Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Mittag-Leffler summation ： ウィキペディア英語版 Mittag-Leffler summation In mathematics, Mittag-Leffler summation is any of several variations of the Borel summation method for summing possibly divergent formal power series, introduced by ==Definition== Let :$y(z)\; =\; \backslash sum\_^\backslash infty\; y\_kz^k$ be a formal power series in ''z''. Define the transform $\backslash scriptstyle\; \backslash mathcal\_\backslash alpha\; y$ of $\backslash scriptstyle\; y$ by :$\backslash mathcal\_\backslash alpha\; y(t)\; \backslash equiv\; \backslash sum\_^\backslash infty\; \backslash fract^k$ Then the Mittag-Leffler sum of ''y'' is given by :$\backslash lim\_\backslash mathcal\_\backslash alpha\; y(\; z)$ if each sum converges and the limit exists. A closely related summation method, also called Mittag-Leffler summation, is given as follows . Suppose that the Borel transform converges to an analytic function near 0 that can be analytically continued along the positive real axis to a function growing sufficiently slowly that the following integral is well defined (as an improper integral). Then the Mittag-Leffler sum of ''y'' is given by :$\backslash int\_0^\backslash infty\; e^\; \backslash mathcal\_\backslash alpha\; y(t^\backslash alpha\; z)\; \backslash ,\; dt$ When ''α'' = 1 this is the same as Borel summation. 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「Mittag-Leffler summation」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.