D[ChebyshevU[n, z], {z, m}] == ((Sqrt[Pi]/2) (1 + n) HypergeometricPFQRegularized[{1, -n, 2 + n}, {3/2, 1 - m}, (1 - z)/2])/(z - 1)^m /; Element[m, Integers] && m >= 0

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2001-10-29