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DLMF:33.20#Ex3 - MaRDI portal

DLMF:33.20#Ex3 (Q10361)

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DLMF:33.20#Ex3
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    DLMF defining formula
    f ⁡ ( 0 , ℓ ; r ) = ( - 1 ) ℓ + 1 ⁢ ( 2 ⁢ | r | ) 1 / 2 ⁢ I 2 ⁢ ℓ + 1 ⁡ ( 8 ⁢ | r | ) , Coulomb-f 0 ℓ 𝑟 superscript 1 ℓ 1 superscript 2 𝑟 1 2 modified-Bessel-first-kind 2 ℓ 1 8 𝑟 {\displaystyle{\displaystyle f\left(0,\ell;r\right)=(-1)^{\ell+1}(2|r|)^{1/2}I% _{2\ell+1}\left(\sqrt{8|r|}\right),}}
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