Formula:2966

Digital Library of Mathematical Functions ID 6.7.E15

${\displaystyle{\displaystyle\mathrm{f}\left(z\right)=2\int_{0}^{\infty}K_{0}\left(2\sqrt{zt}\right)\cos t\mathrm{d}t,}}$

Symbols List

• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Bessel function of the second kind
• ${\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}$: auxiliary function for sine and cosine integrals
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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