DLMF:5.16.E1 (Q2178)

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DLMF:5.16.E1
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    k = 1 ( - 1 ) k ψ ( k ) = - π 2 8 , superscript subscript 𝑘 1 superscript 1 𝑘 diffop digamma 1 𝑘 superscript 𝜋 2 8 {\displaystyle{\displaystyle\sum_{k=1}^{\infty}(-1)^{k}\psi'\left(k\right)=-% \frac{\pi^{2}}{8},}}
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    DLMF:5.16.E1
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