ArcSec[x] + ArcCsch[y] == -2 I Pi (Floor[(-Arg[(Sqrt[1 - 1/x^2] + I/x)^I] - Arg[Sqrt[1 + 1/y^2] + 1/y] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[Sqrt[1 + 1/y^2] + 1/y]])/(2 Pi)] + Floor[(Pi - Re[Log[Sqrt[1 - 1/x^2] + I/x]])/(2 Pi)]) + Log[(Sqrt[1 - 1/x^2] + I/x)^I (Sqrt[1 + 1/y^2] + 1/y)] + Pi/2

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2007-05-02