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DLMF:33.10#Ex7 - MaRDI portal

DLMF:33.10#Ex7 (Q10257)

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DLMF:33.10#Ex7
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    DLMF defining formula
    F 0 ′ ⁡ ( η , ρ ) ∼ e - π ⁢ η ⁢ ( 2 ⁢ π ⁢ η ) 1 / 2 ⁢ I 0 ⁡ ( ( 8 ⁢ η ⁢ ρ ) 1 / 2 ) , asymptotically-equals diffop regular-Coulomb-F 0 1 𝜂 𝜌 superscript 𝑒 𝜋 𝜂 superscript 2 𝜋 𝜂 1 2 modified-Bessel-first-kind 0 superscript 8 𝜂 𝜌 1 2 {\displaystyle{\displaystyle F_{0}'\left(\eta,\rho\right)\sim e^{-\pi\eta}(2% \pi\eta)^{\ifrac{1}{2}}I_{0}\left((8\eta\rho)^{\ifrac{1}{2}}\right),}}
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