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

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2001-10-29