ArcSech[x] + Log[y] == I Pi (1 - (-1)^(Floor[-(Arg[(Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y + 1]/ (2 Pi))] - Floor[-(Arg[(Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y]/ (2 Pi))])) + (-1)^(Floor[-(Arg[(Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y]/Pi)] - Floor[-(Arg[(Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y - 1]/(2 Pi))] + Floor[Arg[(Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y]/Pi - (2 Arg[(Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y - 1])/Pi] + Floor[-(Arg[(Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y + 1]/(2 Pi))]) ArcSech[(2 (Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x) y)/ ((Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x)^2 y^2 + 1)] - 2 I Pi Floor[(-Arg[Sqrt[1/x - 1] Sqrt[1 + 1/x] + 1/x] - Arg[y] + Pi)/(2 Pi)]

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2007-05-02