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Formula:10254

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Digital Library of Mathematical Functions ID 33.10#Ex4

G ℓ ⁡ ( η , ρ ) ∼ 2 ⁢ ( 2 ⁢ η ) ℓ ( 2 ⁢ ℓ + 1 ) ! ⁢ C ℓ ⁡ ( η ) ⁢ ( 2 ⁢ η ⁢ ρ ) 1 / 2 ⁢ K 2 ⁢ ℓ + 1 ⁡ ( ( 8 ⁢ η ⁢ ρ ) 1 / 2 ) . asymptotically-equals irregular-Coulomb-G ℓ 𝜂 𝜌 2 superscript 2 𝜂 ℓ 2 ℓ 1 Coulomb-C ℓ 𝜂 superscript 2 𝜂 𝜌 1 2 modified-Bessel-second-kind 2 ℓ 1 superscript 8 𝜂 𝜌 1 2 {\displaystyle{\displaystyle G_{\ell}\left(\eta,\rho\right)\sim\dfrac{2(2\eta)% ^{\ell}}{(2\ell+1)!C_{\ell}\left(\eta\right)}(2\eta\rho)^{\ifrac{1}{2}}K_{2% \ell+1}\left((8\eta\rho)^{\ifrac{1}{2}}\right).}}


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