InverseJacobiCD[z, m] == ((Sqrt[1 - m z^2] JacobiSN[InverseJacobiCD[z, m], m])/Sqrt[1 - z^2]) (EllipticK[m] - EllipticF[ArcSin[z], m]) /; !Exists[\[Tau], {Element[\[Tau], Reals], 0 < \[Tau] < 1}, Im[1 - (1 + \[Tau] (z - 1))^2] == 0 && 1 - (1 + \[Tau] (z - 1))^2 < 0 && Im[1 - m (1 + \[Tau] (z - 1))^2] == 0 && 1 - m (1 + \[Tau] (z - 1))^2 < 0]

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2007-05-02