DLMF:1.14.E12 (Q504)

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DLMF:1.14.E12
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    1 2 ( f ( u + ) + f ( u - ) ) = 2 π 0 F s ( x ) sin ( u x ) d x . 1 2 𝑓 limit-from 𝑢 𝑓 limit-from 𝑢 2 𝜋 subscript superscript 0 subscript 𝐹 𝑠 𝑥 𝑢 𝑥 𝑥 {\displaystyle{\displaystyle\tfrac{1}{2}(f(u+)+f(u-))=\sqrt{\frac{2}{\pi}}\int% ^{\infty}_{0}F_{s}(x)\sin\left(ux\right)\mathrm{d}x.}}
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