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== Mehler's formula == defined a function〔 (cf. p 174, eqn (18) & p 173, eqn (13) )〕 \exp\left(-\frac\right)~, |border |border colour = #0073CF |bgcolor=#F9FFF7}} and showed, in modernized notation,〔 ((scan ): (p.194 10.13 (22) ))〕 that it can be expanded in terms of Hermite polynomials (.) based on weight function exp(−²) as : This result is useful, in modified form, in quantum physics, probability theory, and harmonic analysis. 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「Mehler kernel」の詳細全文を読む スポンサード リンク
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