DLMF:25.11.E22 (Q7696)

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DLMF:25.11.E22
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    test
    ζ ′ ⁡ ( 1 - 2 ⁢ n , 1 2 ) = - B 2 ⁢ n ⁢ ln ⁡ 2 n ⋅ 4 n - ( 2 2 ⁢ n - 1 - 1 ) ⁢ ζ ′ ⁡ ( 1 - 2 ⁢ n ) 2 2 ⁢ n - 1 , diffop Hurwitz-zeta 1 1 2 𝑛 1 2 Bernoulli-number-B 2 𝑛 2 ⋅ 𝑛 superscript 4 𝑛 superscript 2 2 𝑛 1 1 diffop Riemann-zeta 1 1 2 𝑛 superscript 2 2 𝑛 1 {\displaystyle{\displaystyle\zeta'\left(1-2n,\tfrac{1}{2}\right)=-\frac{B_{2n}% \ln 2}{n\cdot 4^{n}}-\frac{(2^{2n-1}-1)\zeta'\left(1-2n\right)}{2^{2n-1}},}}
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    DLMF id
    DLMF:25.11.E22
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