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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=1/2, a2>=1/2
For fixed z and a1=1/2, a2=1, a3>=1
For fixed z and a1=1/2, a2=1, a3=2
For fixed z and a1=1/2, a2=1, a3=2, b1=-7/2
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http://functions.wolfram.com/07.27.03.an1e.01
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HypergeometricPFQ[{1/2, 1, 2}, {-(7/2), -(7/2)}, z] ==
(1/(2450 (-1 + z)^10)) (2450 - 24300 z + 108394 z^2 - 285800 z^3 +
535380 z^4 + 3383000 z^5 + 26786820 z^6 + 33437376 z^7 + 8705130 z^8 +
99225 z^9) + (99 (128 z^(9/2) + 2816 z^(11/2) + 9504 z^(13/2) +
7392 z^(15/2) + 1155 z^(17/2)) ArcSin[Sqrt[z]])/
(70 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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