D[EllipticF[z, m], {m, \[Alpha]}] == ((Sqrt[Pi] Sin[z])/(m^\[Alpha] 2)) HypergeometricPFQRegularized[{{1/2}, {1/2}, {1/2, 1}}, {{3/2}, {}, {1 - \[Alpha]}}, Sin[z]^2, m Sin[z]^2]

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2001-10-29