ArcCoth[z]^2 == -(Pi^2/4) - Pi Sqrt[-(1/z^2)] z ArcTanh[z] + ArcTanh[z]^2 /; !IntervalMemberQ[Interval[{-Infinity, -1}], z] && !IntervalMemberQ[Interval[{1, Infinity}], z]

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2007-05-02