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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 Fourier–Bessel series ： ウィキペディア英語版 Fourier–Bessel series In mathematics, Fourier–Bessel series is a particular kind of generalized Fourier series (an infinite series expansion on a finite interval) based on Bessel functions. Fourier–Bessel series are used in the solution to partial differential equations, particularly in cylindrical coordinate systems. == Definition == The Fourier–Bessel series of a function ''f''(''x'')'' with a domain of () :$f:\; ()\; \backslash rightarrow\; \backslash mathbb$ is the notation of that function as a linear combination of many orthogonal versions of the same Bessel function of the first kind ''J''α, where the argument to each version ''n'' is differently scaled, according to :$(J\_\backslash alpha\; )\_n\; (x)\; :=\; J\_\backslash alpha\; \backslash left(\; \backslash frac^\backslash infty\; c\_n\; J\_\backslash alpha\; \backslash left(\; \backslash frac\{u\_\{\backslash alpha,n\}\}b\; x\; \backslash right).$ 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「Fourier–Bessel series」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.