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DLMF:33.10#Ex6 - MaRDI portal

DLMF:33.10#Ex6 (Q10256)

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DLMF:33.10#Ex6
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    DLMF defining formula
    G 0 ⁡ ( η , ρ ) ∼ 2 ⁢ e π ⁢ η ⁢ ( ρ / π ) 1 / 2 ⁢ K 1 ⁡ ( ( 8 ⁢ η ⁢ ρ ) 1 / 2 ) , asymptotically-equals irregular-Coulomb-G 0 𝜂 𝜌 2 superscript 𝑒 𝜋 𝜂 superscript 𝜌 𝜋 1 2 modified-Bessel-second-kind 1 superscript 8 𝜂 𝜌 1 2 {\displaystyle{\displaystyle G_{0}\left(\eta,\rho\right)\sim 2e^{\pi\eta}\left% (\ifrac{\rho}{\pi}\right)^{\ifrac{1}{2}}K_{1}\left((8\eta\rho)^{\ifrac{1}{2}}% \right),}}
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