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DLMF:33.16#Ex10 - MaRDI portal

DLMF:33.16#Ex10 (Q10342)

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DLMF:33.16#Ex10
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    DLMF defining formula
    c ⁡ ( ϵ , ℓ ; r ) = ( - 1 ) ℓ π ⁢ ( 2 ⁢ ν ) 1 / 2 ⁢ K ⁢ ( ν , ℓ ) ⁢ ζ ℓ ⁢ ( - ν , r ) . Coulomb-c italic-ϵ ℓ 𝑟 superscript 1 ℓ 𝜋 superscript 2 𝜈 1 2 𝐾 𝜈 ℓ subscript 𝜁 ℓ 𝜈 𝑟 {\displaystyle{\displaystyle c\left(\epsilon,\ell;r\right)=\frac{(-1)^{\ell}}{% \pi(2\nu)^{1/2}}K(\nu,\ell)\zeta_{\ell}(-\nu,r).}}
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