DLMF:5.15.E2 (Q2171)

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DLMF:5.15.E2
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    ψ ( n ) ( 1 ) = ( - 1 ) n + 1 n ! ζ ( n + 1 ) , polygamma 𝑛 1 superscript 1 𝑛 1 𝑛 Riemann-zeta 𝑛 1 {\displaystyle{\displaystyle\psi^{(n)}\left(1\right)=(-1)^{n+1}n!\zeta\left(n+% 1\right),}}
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    DLMF:5.15.E2
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