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http://functions.wolfram.com/07.24.26.0135.01
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(Sqrt[z] + Sqrt[1 + z])^(a + b - c) Hypergeometric2F1Regularized[a, b, c,
(Sqrt[z] - Sqrt[1 + z])/(2 Sqrt[z])] Hypergeometric2F1Regularized[-a + c,
-b + c, 1 - a - b + c, (Sqrt[z] - Sqrt[1 + z])/(2 Sqrt[z])] ==
(2^(-1 + c)/(Sqrt[Pi] Gamma[-a + c] Gamma[-b + c]))
MeijerG[{{1 + (a + b - c)/2}, {(3 c - a - b)/2, (a + b + c)/2,
(c - a - b)/2 + 1}}, {{(-a + b + c)/2, (a - b + c)/2, c/2, (1 + c)/2},
{}}, z] /; !IntervalMemberQ[Interval[{-1, 0}], z]
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Date Added to functions.wolfram.com (modification date)
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HypergeometricPFQRegularized[{},{b},z] | HypergeometricPFQRegularized[{a1},{b1},z] | HypergeometricPFQRegularized[{a1,...,ap},{b1,...,bq},z] | |
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