DLMF:5.4.E16 (Q2054)

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DLMF:5.4.E16
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    Statements

    Defining formula
    ℑ ⁡ ψ ⁡ ( i ⁢ y ) = 1 2 ⁢ y + π 2 ⁢ coth ⁡ ( π ⁢ y ) , digamma 𝑖 𝑦 1 2 𝑦 𝜋 2 hyperbolic-cotangent 𝜋 𝑦 {\displaystyle{\displaystyle\Im\psi\left(iy\right)=\frac{1}{2y}+\frac{\pi}{2}% \coth\left(\pi y\right),}}
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    DLMF id
    DLMF:5.4.E16
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        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2054&oldid=8054"