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http://functions.wolfram.com/07.27.03.0131.01
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HypergeometricPFQ[{a, b, (a + b + 1)/2}, {(a + b)/2 + 1, a + b + 1}, z] ==
(a/(a - b)) Hypergeometric2F1[(a + 1)/2, b/2, (a + b)/2 + 1, z]^2 -
(b/(a - b)) Hypergeometric2F1[a/2, (b + 1)/2, (a + b)/2 + 1, z]^2
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Date Added to functions.wolfram.com (modification date)
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HypergeometricPFQ[{},{},z] | HypergeometricPFQ[{},{b},z] | HypergeometricPFQ[{a},{},z] | HypergeometricPFQ[{a},{b},z] | HypergeometricPFQ[{a1},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1},z] | HypergeometricPFQ[{a1,a2},{b1,b2},z] | HypergeometricPFQ[{a1,a2},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5},{b1,b2,b3,b4},z] | HypergeometricPFQ[{a1,a2,a3,a4,a5,a6},{b1,b2,b3,b4,b5},z] | HypergeometricPFQ[{a1,...,ap},{b1,...,bq},z] | |
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