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

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2001-10-29