DLMF:5.7.E8 (Q2084)

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DLMF:5.7.E8
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    ψ ( 1 + i y ) = k = 1 y k 2 + y 2 . digamma 1 imaginary-unit 𝑦 superscript subscript 𝑘 1 𝑦 superscript 𝑘 2 superscript 𝑦 2 {\displaystyle{\displaystyle\Im\psi\left(1+\mathrm{i}y\right)=\sum_{k=1}^{% \infty}\frac{y}{k^{2}+y^{2}}.}}
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