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

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2003-08-21