a ArcCosh[x] + b ArcCosh[y] == Log[(x + Sqrt[x - 1] Sqrt[x + 1])^a (y + Sqrt[y - 1] Sqrt[y + 1])^b] - 2 I Pi (Floor[(-Arg[(x + Sqrt[x - 1] Sqrt[x + 1])^a] - Arg[(y + Sqrt[y - 1] Sqrt[y + 1])^b] + Pi)/(2 Pi)] + Floor[(Pi - Im[a Log[x + Sqrt[x - 1] Sqrt[x + 1]]])/(2 Pi)] + Floor[(Pi - Im[b Log[y + Sqrt[y - 1] Sqrt[y + 1]]])/(2 Pi)])

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2007-05-02