DLMF:5.15.E3 (Q2172)

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DLMF:5.15.E3
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    ψ ( n ) ( 1 2 ) = ( - 1 ) n + 1 n ! ( 2 n + 1 - 1 ) ζ ( n + 1 ) , polygamma 𝑛 1 2 superscript 1 𝑛 1 𝑛 superscript 2 𝑛 1 1 Riemann-zeta 𝑛 1 {\displaystyle{\displaystyle\psi^{(n)}\left(\tfrac{1}{2}\right)=(-1)^{n+1}n!(2% ^{n+1}-1)\zeta\left(n+1\right),}}
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