Formula:626

Digital Library of Mathematical Functions ID 1.16.E48

${\displaystyle{\displaystyle\mathscr{F}\left(\operatorname{sign}\right)=\sqrt{\frac{2}{\pi}}\,\frac{\mathrm{i}}{x},}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathscr{F}\left(\NVar{u}\right)}}$: Fourier transform of a tempered distribution
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}$:
 

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