Formula:473

Digital Library of Mathematical Functions ID 1.14.E12

${\displaystyle{\displaystyle\tfrac{1}{2}(f(u+)+f(u-))=\sqrt{\frac{2}{\pi}}\int^{\infty}_{0}F_{s}(x)\sin\left(ux\right)\mathrm{d}x.}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle F_{s}(x)}}$: sine transformation of f ( t )
 

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