DLMF:25.8.E5 (Q7662)

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DLMF:25.8.E5
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    k = 2 ζ ( k ) z k = - γ z - z ψ ( 1 - z ) , superscript subscript 𝑘 2 Riemann-zeta 𝑘 superscript 𝑧 𝑘 𝑧 𝑧 digamma 1 𝑧 {\displaystyle{\displaystyle\sum_{k=2}^{\infty}\zeta\left(k\right)z^{k}=-% \gamma z-z\psi\left(1-z\right),}}
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    DLMF:25.8.E5
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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