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

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2007-05-02