Formula:754

Digital Library of Mathematical Functions ID 2.5.E8

${\displaystyle{\displaystyle I(x)=\int_{0}^{\infty}\frac{{J_{\nu}^{2}}\left(xt\right)}{1+t}\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle\nu>-\tfrac{1}{2}}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle I(x)}}$: convolution integral
 

Resources that cite this formula

No records found.