ArcCsch[z] == (Pi/4) ((-Sqrt[-(1/z^2)]) z + I Sqrt[I/z] Sqrt[(I Sqrt[2] + z)/z] Sqrt[(-I) z] Sqrt[z/(I Sqrt[2] + z)] - I Sqrt[-(I/z)] Sqrt[(z - I Sqrt[2])/z] Sqrt[I z] Sqrt[z/(z - I Sqrt[2])] - (z Sqrt[(1 + z^2)/z^4])/ Sqrt[-((1 + z^2)/z^2)]) - ((Sqrt[-z] z^(3/2))/(2 Sqrt[1/z^4 + 1/z^2] Sqrt[-2 - z^2] Sqrt[1 - 1/(2 + z^2)])) Sqrt[-(1/z^4)] Sqrt[-((1 + z^2)^2/z^4)] ArcSinh[(2 Sqrt[1 + z^2])/z^2]

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2003-08-21