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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=1, a2>=1
For fixed z and a1=1, a2=5/2, a3>=5/2
For fixed z and a1=1, a2=5/2, a3=3
For fixed z and a1=1, a2=5/2, a3=3, b1=-7/2
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http://functions.wolfram.com/07.27.03.aqkc.01
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HypergeometricPFQ[{1, 5/2, 3}, {-(7/2), -(1/2)}, z] ==
(1/(56 (-1 + z)^10)) (56 - 320 z - 2568 z^2 + 57840 z^3 - 1116432 z^4 -
6902784 z^5 - 5782280 z^6 - 800716 z^7 - 2205 z^8 - 126 z^9) -
(6435 (64 z^(9/2) + 168 z^(11/2) + 84 z^(13/2) + 7 z^(15/2))
ArcSin[Sqrt[z]])/(8 Sqrt[1 - z] (-1 + z)^10)
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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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