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

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2007-05-02