DLMF:1.14.E10 (Q502): Difference between revisions

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Property / Symbols defined: Fourier sine transform / rank
 
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Revision as of 14:53, 30 December 2019

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DLMF:1.14.E10
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    ℱ s ⁡ ( f ) ⁡ ( x ) = ℱ s ⁡ f ⁡ ( x ) = 2 π ⁢ ∫ 0 ∞ f ⁢ ( t ) ⁢ sin ⁡ ( x ⁢ t ) ⁢ d t . Fourier-sine-transform 𝑓 𝑥 Fourier-sine-transform 𝑓 𝑥 2 𝜋 subscript superscript 0 𝑓 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\mathscr{F}_{\mskip-2.0mu s}\left(f\right)\left(x% \right)=\mathscr{F}_{\mskip-2.0mu s}\mskip-1.0mu f\mskip 3.0mu \left(x\right)=% \sqrt{\frac{2}{\pi}}\int^{\infty}_{0}f(t)\sin\left(xt\right)\mathrm{d}t.}}
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    DLMF id
    DLMF:1.14.E10
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