ArcSech[z] == (Pi/(4 Sqrt[(-1 + z)/z])) Sqrt[-1 + 1/z] (2 - (Sqrt[1/z^4 - 1/z^2] z)/Sqrt[-1 + 1/z^2] - Sqrt[1/z^2] z - Sqrt[1 - Sqrt[2]/z] Sqrt[-(1/z)] Sqrt[-z] Sqrt[z/(-Sqrt[2] + z)] + Sqrt[1/z] Sqrt[z] Sqrt[z/(Sqrt[2] + z)] Sqrt[(Sqrt[2] + z)/z]) + (-((Sqrt[(Sqrt[2] - z) (-1 + z)] Sqrt[Sqrt[2] + z])/ (2 Sqrt[1/z^4 - 1/z^2] z^(3/2) Sqrt[-2 + z^2]))) Sqrt[-((1 + z)/z)] (Pi/2 - ArcSec[z^2/(2 Sqrt[z^2 - 1])])

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2003-08-21