D[InverseJacobiSD[z, m], {m, 2}] == (1/(4 (-1 + m)^2 m^2)) ((-2 + 4 m) EllipticE[JacobiAmplitude[InverseJacobiSD[z, m], m], m] + (-1 + m) EllipticF[JacobiAmplitude[InverseJacobiSD[z, m], m], m] + 3 (-1 + m)^2 InverseJacobiSD[z, m] + (1/(1 + (-1 + m) z^2)^2) (m JacobiCN[InverseJacobiSD[z, m], m] (-((1/(1 + m z^2)) (z^2 (-1 + z^2 + m (3 + (-7 + 8 m) z^2 + (-1 + m) (-2 + 5 m) z^4)) JacobiDS[InverseJacobiSD[z, m], m])) + z^2 (-1 + m + (-1 + m)^2 z^2) Sqrt[1/(1 + m z^2)] JacobiSN[InverseJacobiSD[z, m], m])))

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2001-10-29