Formula:472

Digital Library of Mathematical Functions ID 1.14.E11

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

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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