DLMF:10.17.E17 (Q3186)

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DLMF:10.17.E17
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    Statements

    test
    R ℓ ± ⁢ ( ν , z ) = ( - 1 ) ℓ ⁢ 2 ⁢ cos ⁡ ( ν ⁢ π ) ⁢ ( ∑ k = 0 m - 1 ( ± i ) k ⁢ a k ⁢ ( ν ) z k ⁢ G ℓ - k ⁡ ( ∓ 2 ⁢ i ⁢ z ) + R m , ℓ ± ⁢ ( ν , z ) ) , superscript subscript 𝑅 ℓ plus-or-minus 𝜈 𝑧 superscript 1 ℓ 2 𝜈 𝜋 superscript subscript 𝑘 0 𝑚 1 superscript plus-or-minus 𝑖 𝑘 subscript 𝑎 𝑘 𝜈 superscript 𝑧 𝑘 rescaled-terminant-function ℓ 𝑘 minus-or-plus 2 𝑖 𝑧 superscript subscript 𝑅 𝑚 ℓ plus-or-minus 𝜈 𝑧 {\displaystyle{\displaystyle R_{\ell}^{\pm}(\nu,z)=(-1)^{\ell}2\cos\left(\nu% \pi\right)\*\left(\sum_{k=0}^{m-1}(\pm i)^{k}\frac{a_{k}(\nu)}{z^{k}}G_{\ell-k% }\left(\mp 2iz\right)+R_{m,\ell}^{\pm}(\nu,z)\right),}}
    0 references
    DLMF id
    DLMF:10.17.E17
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
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