InverseJacobiDS[z, m] == (-((I z^2 JacobiNC[InverseJacobiDS[z, m], m])/ (Sqrt[m] (m + z^2)))) Sqrt[(z^2 + m)/z^2] Sqrt[(-1 + m + z^2)/z^2] EllipticF[I ArcSinh[Sqrt[m]/z], 1 - 1/m] /; !Exists[\[Tau], {Element[\[Tau], Reals], 0 < \[Tau] < 1}, Im[(z + Tan[(Pi \[Tau])/2])^2 + m] == 0 && (z + Tan[(Pi \[Tau])/2])^2 + m < 0 && Im[(z + Tan[(Pi \[Tau])/2])^2 + m - 1] == 0 && (z + Tan[(Pi \[Tau])/2])^2 + m - 1 < 0]

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2007-05-02