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Formula:10305

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Digital Library of Mathematical Functions ID 33.14.E4

f ⁡ ( ϵ , ℓ ; r ) = κ ℓ + 1 ⁢ M κ , ℓ + 1 2 ⁡ ( 2 ⁢ r / κ ) / ( 2 ⁢ ℓ + 1 ) ! , Coulomb-f italic-ϵ ℓ 𝑟 superscript 𝜅 ℓ 1 Whittaker-confluent-hypergeometric-M 𝜅 ℓ 1 2 2 𝑟 𝜅 2 ℓ 1 {\displaystyle{\displaystyle f\left(\epsilon,\ell;r\right)=\kappa^{\ell+1}M_{% \kappa,\ell+\frac{1}{2}}\left(2r/\kappa\right)/(2\ell+1)!,}}


Constraint(s)

Symbols List

  • M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}} : Whittaker confluent hypergeometric function
  • ! {\displaystyle{\displaystyle!}} :
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
  • r 𝑟 {\displaystyle{\displaystyle r}} : real variable
  • ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}} : real parameter
  • κ 𝜅 {\displaystyle{\displaystyle\kappa}} : quantity (locally)
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 02:55.
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