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DLMF:32.6.E29 - MaRDI portal

DLMF:32.6.E29 (Q9960)

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DLMF:32.6.E29
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    Statements

    DLMF defining formula
    ζ 2 ⁢ ( σ ′′ ) 2 + ( 4 ⁢ ( σ ′ ) 2 - η 0 2 ⁢ η ∞ 2 ) ⁢ ( ζ ⁢ σ ′ - σ ) + η 0 ⁢ η ∞ ⁢ θ 0 ⁢ θ ∞ ⁢ σ ′ = 1 4 ⁢ η 0 2 ⁢ η ∞ 2 ⁢ ( θ 0 2 + θ ∞ 2 ) . superscript 𝜁 2 superscript superscript 𝜎 ′′ 2 4 superscript superscript 𝜎 ′ 2 superscript subscript 𝜂 0 2 superscript subscript 𝜂 2 𝜁 superscript 𝜎 ′ 𝜎 subscript 𝜂 0 subscript 𝜂 subscript 𝜃 0 subscript 𝜃 superscript 𝜎 ′ 1 4 superscript subscript 𝜂 0 2 superscript subscript 𝜂 2 superscript subscript 𝜃 0 2 superscript subscript 𝜃 2 {\displaystyle{\displaystyle\zeta^{2}(\sigma^{\prime\prime})^{2}+\left(4(% \sigma^{\prime})^{2}-\eta_{0}^{2}\eta_{\infty}^{2}\right)(\zeta\sigma^{\prime}% -\sigma)+\eta_{0}\eta_{\infty}\theta_{0}\theta_{\infty}\sigma^{\prime}=\tfrac{% 1}{4}\eta_{0}^{2}\eta_{\infty}^{2}(\theta_{0}^{2}+\theta_{\infty}^{2}).}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    function
    DLMF defining formula
    σ 𝜎 {\displaystyle{\displaystyle\sigma}}
    xml-id
    C32.S6.XMD11.m1edec
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    parameter
    DLMF defining formula
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    xml-id
    C32.S6.XMD13.m1ldec
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    Identifiers

     
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