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

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2003-08-21