D[AppellF1[a, Subscript[b, 1], Subscript[b, 2], c, Subscript[z, 1], Subscript[z, 2]], {Subscript[z, 2], \[Alpha]}] == (Gamma[c] HypergeometricPFQRegularized[{{a}, {Subscript[b, 1]}, {Subscript[b, 2], 1}}, {{c}, {}, {1 - \[Alpha]}}, Subscript[z, 1], Subscript[z, 2]])/Subscript[z, 2]^\[Alpha]

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2001-10-29