Formula:471

Digital Library of Mathematical Functions ID 1.14.E10

${\displaystyle{\displaystyle\mathscr{F}_{\mskip-2.0mu s}\left(f\right)\left(x\right)=\mathscr{F}_{\mskip-2.0mu s}\mskip-1.0mu f\mskip 3.0mu \left(x\right)=\sqrt{\frac{2}{\pi}}\int^{\infty}_{0}f(t)\sin\left(xt\right)\mathrm{d}t.}}$

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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