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Formula:10220

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Digital Library of Mathematical Functions ID 33.5.E6

C ℓ ⁡ ( 0 ) = 2 ℓ ⁢ ℓ ! ( 2 ⁢ ℓ + 1 ) ! = 1 ( 2 ⁢ ℓ + 1 ) !! . Coulomb-C ℓ 0 superscript 2 ℓ ℓ 2 ℓ 1 1 double-factorial 2 ℓ 1 {\displaystyle{\displaystyle C_{\ell}\left(0\right)=\frac{2^{\ell}\ell!}{(2% \ell+1)!}=\frac{1}{(2\ell+1)!!}.}}


Constraint(s)

Symbols List

  • C ℓ ⁡ ( η ) Coulomb-C ℓ 𝜂 {\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}} : normalizing constant for Coulomb radial functions
  • !! double-factorial {\displaystyle{\displaystyle!!}} :
  • ! {\displaystyle{\displaystyle!}} :
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:30.
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