DLMF:33.2.E13 (Q9509)

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DLMF:33.2.E13
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    Statements

    Defining formula
    F ℓ - 1 ⁢ G ℓ - F ℓ ⁢ G ℓ - 1 = ℓ / ( ℓ 2 + η 2 ) 1 / 2 , regular-Coulomb-F ℓ 1 irregular-Coulomb-G ℓ regular-Coulomb-F ℓ irregular-Coulomb-G ℓ 1 ℓ superscript superscript ℓ 2 superscript 𝜂 2 1 2 {\displaystyle{\displaystyle F_{\ell-1}G_{\ell}-F_{\ell}G_{\ell-1}=\ell/(\ell^% {2}+\eta^{2})^{1/2},}}
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    DLMF id
    DLMF:33.2.E13
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    constraint
    ℓ ≥ 1 ℓ 1 {\displaystyle{\displaystyle\ell\geq 1}}
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