Formula:10315

Digital Library of Mathematical Functions ID 33.14.E13

${\displaystyle{\displaystyle\int_{0}^{\infty}s\left(\epsilon_{1},\ell;r\right)s\left(\epsilon_{2},\ell;r\right)\mathrm{d}r=\delta\left(\epsilon_{1}-\epsilon_{2}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\epsilon_{1},\epsilon_{2}>0}}$

Symbols List

• ${\displaystyle{\displaystyle s\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right)}}$: regular Coulomb function
• ${\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}$:
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle r}}$: real variable
• ${\displaystyle{\displaystyle\epsilon}}$: real parameter
 

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