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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=4, a3>=4
For fixed z and a1=1, a2=4, a3=4
For fixed z and a1=1, a2=4, a3=4, b1=-7/2
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http://functions.wolfram.com/07.27.03.ar5l.01
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HypergeometricPFQ[{1, 4, 4}, {-(7/2), 3}, z] ==
(1/(672 (-1 + z)^9)) (-672 + 7072 z - 35968 z^2 + 128640 z^3 - 574144 z^4 -
316901 z^5 + 32508 z^6 - 6972 z^7 + 672 z^8) -
(2145 (15 z^(9/2) + 2 z^(11/2)) ArcSin[Sqrt[z]])/(32 Sqrt[1 - z] (-1 + z)^9)
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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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