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DLMF:33.20#Ex4 - MaRDI portal

DLMF:33.20#Ex4 (Q10362)

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DLMF:33.20#Ex4
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    Statements

    DLMF defining formula
    h ⁡ ( 0 , ℓ ; r ) = ( - 1 ) ℓ ⁢ ( 2 / π ) ⁢ ( 2 ⁢ | r | ) 1 / 2 ⁢ K 2 ⁢ ℓ + 1 ⁡ ( 8 ⁢ | r | ) Coulomb-h 0 ℓ 𝑟 superscript 1 ℓ 2 𝜋 superscript 2 𝑟 1 2 modified-Bessel-second-kind 2 ℓ 1 8 𝑟 {\displaystyle{\displaystyle h\left(0,\ell;r\right)=(-1)^{\ell}(2/\pi)(2|r|)^{% 1/2}K_{2\ell+1}\left(\sqrt{8|r|}\right)}}
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    constraint
    r < 0 𝑟 0 {\displaystyle{\displaystyle r<0}}
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    Identifiers

     
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