D[InverseJacobiCS[z, m], {z, \[Alpha]}] == ((I/Sqrt[m - 1]) EllipticK[1/(1 - m)] - EllipticK[1 - m]) (1/(z^\[Alpha] Gamma[1 - \[Alpha]])) - ((I z^(1 - \[Alpha]) Sqrt[Pi])/Sqrt[m - 1]) HypergeometricPFQRegularized[ {{1/2, 1}, {1/2}, {1/2}}, {{(3 - \[Alpha])/2, 1 - \[Alpha]/2}, {}, {}}, -z^2, z^2/(m - 1)] /; -1 < z < 1 && m < 0

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2001-10-29