Formula:470

Digital Library of Mathematical Functions ID 1.14.E9

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

Symbols List

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

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