DLMF:25.5.E17 (Q7630)

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DLMF:25.5.E17
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    Defining formula
    ζ ⁡ ( 1 + s ) = sin ⁡ ( π ⁢ s ) π ⁢ ∫ 0 ∞ ( γ + ψ ⁡ ( 1 + x ) ) ⁢ x - s - 1 ⁢ d x , Riemann-zeta 1 𝑠 𝜋 𝑠 𝜋 superscript subscript 0 digamma 1 𝑥 superscript 𝑥 𝑠 1 𝑥 {\displaystyle{\displaystyle\zeta\left(1+s\right)=\frac{\sin\left(\pi s\right)% }{\pi}\int_{0}^{\infty}\left(\gamma+\psi\left(1+x\right)\right)x^{-s-1}\mathrm% {d}x,}}
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    DLMF id
    DLMF:25.5.E17
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