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Formula:644

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Digital Library of Mathematical Functions ID 1.17.E15

δ ⁡ ( x - a ) = ∫ 0 ∞ s ⁡ ( x , ℓ ; r ) ⁢ s ⁡ ( a , ℓ ; r ) ⁢ d r , Dirac-delta 𝑥 𝑎 superscript subscript 0 Coulomb-s 𝑥 ℓ 𝑟 Coulomb-s 𝑎 ℓ 𝑟 𝑟 {\displaystyle{\displaystyle\delta\left(x-a\right)=\int_{0}^{\infty}s\left(x,% \ell;r\right)s\left(a,\ell;r\right)\mathrm{d}r,}}


Constraint(s)

x > 0 𝑥 0 {\displaystyle{\displaystyle x>0}}

Symbols List

  • s ⁡ ( ϵ , ℓ ; r ) Coulomb-s italic-ϵ ℓ 𝑟 {\displaystyle{\displaystyle s\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}} : regular Coulomb function
  • δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}} :
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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