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Formula:10197

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Digital Library of Mathematical Functions ID 33.2.E10

σ ℓ ⁡ ( η ) = ph ⁡ Γ ⁡ ( ℓ + 1 + i ⁢ η ) , Coulomb-phase-shift ℓ 𝜂 phase Euler-Gamma ℓ 1 imaginary-unit 𝜂 {\displaystyle{\displaystyle{\sigma_{\ell}}\left(\eta\right)=\operatorname{ph}% \Gamma\left(\ell+1+\mathrm{i}\eta\right),}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
  • η 𝜂 {\displaystyle{\displaystyle\eta}} : real parameter
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This page was last edited on 28 January 2024, at 10:30.
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