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http://functions.wolfram.com/07.33.16.0002.01
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HypergeometricU[a, b, -z] HypergeometricU[a, b, z] ==
((Pi (b - 2 a) z^(2 - b/2))/((-z)^(b/2) (b (b - 2) Gamma[a]
Gamma[1 + a - b]))) Csc[(b Pi)/2] HypergeometricPFQ[
{1 + a - b/2, 1 - a + b/2}, {3/2, 2 - b/2, 1 + b/2}, z^2/4] -
((Pi z^((3 - b)/2))/((-z)^((b + 1)/2) ((b - 1) Gamma[a] Gamma[1 + a - b])))
Sec[(b Pi)/2] HypergeometricPFQ[{(1 - b)/2 + a, (1 + b)/2 - a},
{1/2, (3 - b)/2, (1 + b)/2}, z^2/4] -
((z^(2 - b) Gamma[b - 1]^2)/((-z)^b Gamma[a]^2))
HypergeometricPFQ[{1 - a, 1 + a - b}, {2 - b, 1 - b/2, (3 - b)/2},
z^2/4] + (Gamma[1 - b]^2/Gamma[1 + a - b]^2)
HypergeometricPFQ[{a, -a + b}, {(1 + b)/2, b/2, b}, z^2/4]
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Date Added to functions.wolfram.com (modification date)
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