DLMF:25.11.E18 (Q7692)

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DLMF:25.11.E18
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    Statements

    Defining formula
    ζ ′ ⁡ ( 0 , a ) = ln ⁡ Γ ⁡ ( a ) - 1 2 ⁢ ln ⁡ ( 2 ⁢ π ) , diffop Hurwitz-zeta 1 0 𝑎 Euler-Gamma 𝑎 1 2 2 𝜋 {\displaystyle{\displaystyle\zeta'\left(0,a\right)=\ln\Gamma\left(a\right)-% \tfrac{1}{2}\ln\left(2\pi\right),}}
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    DLMF id
    DLMF:25.11.E18
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    constraint
    a > 0 𝑎 0 {\displaystyle{\displaystyle a>0}}
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