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/z)] Sqrt[z] Sqrt[-Sqrt[2] + z])/Sqrt[Sqrt[2] - z] + Sqrt[(Sqrt[2] + z)/z]/(Sqrt[1/z] Sqrt[Sqrt[2] + z])) - ((z^(3/2) Sqrt[(1 - z) (Sqrt[2] + z)])/(2 Sqrt[-1 + z] Sqrt[-2 + z^2])) Sqrt[z^2/(1 - z^2)] Sqrt[(Sqrt[2] - z)/z] Sqrt[(1 - z^2)/z^4] ArcSinh[(2 Sqrt[1 - z^2])/z^2]

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2003-08-21