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DLMF:33.10#Ex8 - MaRDI portal

DLMF:33.10#Ex8 (Q10258)

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DLMF:33.10#Ex8
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    DLMF defining formula
    G 0 ′ ⁡ ( η , ρ ) ∼ - 2 ⁢ e π ⁢ η ⁢ ( 2 ⁢ η / π ) 1 / 2 ⁢ K 0 ⁡ ( ( 8 ⁢ η ⁢ ρ ) 1 / 2 ) . asymptotically-equals diffop irregular-Coulomb-G 0 1 𝜂 𝜌 2 superscript 𝑒 𝜋 𝜂 superscript 2 𝜂 𝜋 1 2 modified-Bessel-second-kind 0 superscript 8 𝜂 𝜌 1 2 {\displaystyle{\displaystyle G_{0}'\left(\eta,\rho\right)\sim-2e^{\pi\eta}% \left(\ifrac{2\eta}{\pi}\right)^{\ifrac{1}{2}}K_{0}\left((8\eta\rho)^{\ifrac{1% }{2}}\right).}}
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