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

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2007-05-02