DLMF:25.5.E18 (Q7631)

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DLMF:25.5.E18
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    ζ ( 1 + s ) = sin ( π s ) π s 0 ψ ( 1 + x ) x - s d x , Riemann-zeta 1 𝑠 𝜋 𝑠 𝜋 𝑠 superscript subscript 0 diffop digamma 1 1 𝑥 superscript 𝑥 𝑠 𝑥 {\displaystyle{\displaystyle\zeta\left(1+s\right)=\frac{\sin\left(\pi s\right)% }{\pi s}\int_{0}^{\infty}\psi'\left(1+x\right)x^{-s}\mathrm{d}x,}}
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