翻訳と辞書 Words near each other ・ E-site ・ E-skills UK ・ E-social science ・ E-society ・ E-speak ・ E-file.lu ・ E-FIT ・ E-flat ・ E-flat clarinet ・ E-flat major ・ E-flat minor ・ E-flux ・ E-flux publications ・ E-folding ・ E-Foundation for Cancer Research ・ E-function ・ E-G8 Forum ・ E-Genius ・ E-GIF ・ E-girls ・ E-GMS ・ E-Go ・ E-gold ・ E-Governance ・ E-governance in excise and taxation department in Punjab ・ E-Governance in the United States ・ E-Government ・ E-Government Act of 2002 ・ E-Government in Pakistan ・ E-Government in Russia 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 E-function ： ウィキペディア英語版 E-function In mathematics, E-functions are a type of power series that satisfy particular arithmetic conditions on the coefficients. They are of interest in transcendental number theory, and are more special than G-functions. ==Definition== A function ''f''(''x'') is called of type ''E'', or an ''E''-function,〔Carl Ludwig Siegel, ''Transcendental Numbers'', p.33, Princeton University Press, 1949.〕 if the power series :$f(x)=\backslash sum\_^\; c\_\backslash frac$ satisfies the following three conditions: * All the coefficients ''cn'' belong to the same algebraic number field, ''K'', which has finite degree over the rational numbers; * For all ε > 0, :$\backslash overline=O\backslash left(n^\backslash right)$, where the left hand side represents the maximum of the absolute values of all the algebraic conjugates of ''cn''; * For all ε > 0 there is a sequence of natural numbers ''q''0, ''q''1, ''q''2,... such that ''qnck'' is an algebraic integer in ''K'' for ''k''=0, 1, 2,..., ''n'', and ''n'' = 0, 1, 2,... and for which :$q\_=O\backslash left(n^\backslash right)$. The second condition implies that ''f'' is an entire function of ''x''. 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「E-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.