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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=5/2, a2>=5/2
For fixed z and a1=5/2, a2=3, a3>=3
For fixed z and a1=5/2, a2=3, a3=4
For fixed z and a1=5/2, a2=3, a3=4, b1=-3/2
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http://functions.wolfram.com/07.27.03.aufs.01
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HypergeometricPFQ[{5/2, 3, 4}, {-(3/2), 1/2}, -z] ==
(1/(384 (1 + z)^10)) (384 + 19200 z + 887680 z^2 - 14406800 z^3 +
34870320 z^4 - 20155961 z^5 + 2433130 z^6 - 12600 z^7) -
(1155 (1008 z^(5/2) - 6576 z^(7/2) + 9519 z^(9/2) - 3612 z^(11/2) +
280 z^(13/2)) ArcSinh[Sqrt[z]])/(128 (1 + z)^(21/2))
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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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