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DLMF:33.10#Ex13 - MaRDI portal

DLMF:33.10#Ex13 (Q10263)

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DLMF:33.10#Ex13
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    DLMF defining formula
    F 0 ⁡ ( η , ρ ) = ( π ⁢ ρ ) 1 / 2 ⁢ J 1 ⁡ ( ( - 8 ⁢ η ⁢ ρ ) 1 / 2 ) + o ⁡ ( | η | - 1 / 4 ) , regular-Coulomb-F 0 𝜂 𝜌 superscript 𝜋 𝜌 1 2 Bessel-J 1 superscript 8 𝜂 𝜌 1 2 little-o 𝜂 1 4 {\displaystyle{\displaystyle F_{0}\left(\eta,\rho\right)=(\pi\rho)^{\ifrac{1}{% 2}}J_{1}\left((-8\eta\rho)^{\ifrac{1}{2}}\right)+o\left({\left|\eta\right|^{-% \ifrac{1}{4}}}\right),}}
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