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Formula:10265

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Digital Library of Mathematical Functions ID 33.10#Ex15

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


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