Formula:624

Digital Library of Mathematical Functions ID 1.16.E46

${\displaystyle{\displaystyle\mathscr{F}\left({\operatorname{sign}^{\prime}}\right)=\mathscr{F}\left(2H'\right)=2\mathscr{F}\left(\delta\right)=\sqrt{\frac{2}{\pi}},}}$

Symbols List

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

Resources that cite this formula

No records found.