DLMF:25.5.E8 (Q7621)

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DLMF:25.5.E8
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    Defining formula
    ζ ⁡ ( s ) = 1 2 ⁢ ( 1 - 2 - s ) ⁢ Γ ⁡ ( s ) ⁢ ∫ 0 ∞ x s - 1 sinh ⁡ x ⁢ d x , Riemann-zeta 𝑠 1 2 1 superscript 2 𝑠 Euler-Gamma 𝑠 superscript subscript 0 superscript 𝑥 𝑠 1 𝑥 𝑥 {\displaystyle{\displaystyle\zeta\left(s\right)=\frac{1}{2(1-2^{-s})\Gamma% \left(s\right)}\int_{0}^{\infty}\frac{x^{s-1}}{\sinh x}\mathrm{d}x,}}
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    DLMF:25.5.E8
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