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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=-7/2, a2>=-7/2
For fixed z and a1=-7/2, a2=3/2, a3>=3/2
For fixed z and a1=-7/2, a2=3/2, a3=2
For fixed z and a1=-7/2, a2=3/2, a3=2, b1=1
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http://functions.wolfram.com/07.27.03.7561.01
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HypergeometricPFQ[{-(7/2), 3/2, 2}, {1, 5/2}, -z] ==
(Sqrt[1 + z] (-105 + 2630 z + 9416 z^2 + 10032 z^3 + 3456 z^4))/(2560 z) +
(21 ArcSinh[Sqrt[z]])/(512 z^(3/2))
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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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