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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 Y and H transforms ： ウィキペディア英語版 Y and H transforms In mathematics, the transforms and transforms are complementary pairs of integral transforms involving, respectively, the Neumann function (Bessel function of the second kind) of order and the Struve function of the same order. For a given function , the -transform of order is given by :$F(k)\; =\; \backslash int\_0^\backslash infty\; f(r)\; Y\_(kr)\; \backslash sqrt\; \backslash ,\; dr$ The inverse of above is the -transform of the same order; for a given function , the -transform of order is given by :$f(r)\; =\; \backslash int\_0^\backslash infty\; F(k)\; \backslash mathbf\_(kr)\; \backslash sqrt\; \backslash ,\; dk$ These transforms are closely related to the Hankel transform, as both involve Bessel functions. In problems of mathematical physics and applied mathematics, the Hankel, , transforms all may appear in problems having axial symmetry. Hankel transforms are however much more commonly seen due to their connection with the 2-dimensional Fourier transform. The , transforms appear in situations with singular behaviour on the axis of symmetry (Rooney). 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「Y and H transforms」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.