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DLMF:33.10#Ex5 - MaRDI portal

DLMF:33.10#Ex5 (Q10255)

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DLMF:33.10#Ex5
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    DLMF defining formula
    F 0 ⁡ ( η , ρ ) ∼ e - π ⁢ η ⁢ ( π ⁢ ρ ) 1 / 2 ⁢ I 1 ⁡ ( ( 8 ⁢ η ⁢ ρ ) 1 / 2 ) , asymptotically-equals regular-Coulomb-F 0 𝜂 𝜌 superscript 𝑒 𝜋 𝜂 superscript 𝜋 𝜌 1 2 modified-Bessel-first-kind 1 superscript 8 𝜂 𝜌 1 2 {\displaystyle{\displaystyle F_{0}\left(\eta,\rho\right)\sim e^{-\pi\eta}(\pi% \rho)^{\ifrac{1}{2}}I_{1}\left((8\eta\rho)^{\ifrac{1}{2}}\right),}}
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