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Hypergeometric Functions
HypergeometricPFQ[{a1,a2,a3},{b1,b2},z]
Specific values
For integer and half-integer parameters and fixed z
For fixed z and a1=-3/2, a2>=-3/2
For fixed z and a1=-3/2, a2=-1/2, a3>=-1/2
For fixed z and a1=-3/2, a2=-1/2, a3=4
For fixed z and a1=-3/2, a2=-1/2, a3=4, b1=-1/2
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http://functions.wolfram.com/07.27.03.af69.01
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HypergeometricPFQ[{-(3/2), -(1/2), 4}, {-(1/2), 1/2}, z] ==
(32 - 343 z + 630 z^2 - 315 z^3)/(32 (-1 + z)^2) +
(105/32) Sqrt[z] (-1 + 3 z) ArcTanh[Sqrt[z]]
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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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