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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=3, a3>=3
For fixed z and a1=1/2, a2=3, a3=3
For fixed z and a1=1/2, a2=3, a3=3, b1=-5/2
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http://functions.wolfram.com/07.27.03.aopd.01
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HypergeometricPFQ[{1/2, 3, 3}, {-(5/2), -(3/2)}, z] ==
(1/(320 (-1 + z)^10)) (320 - 2816 z + 16704 z^2 - 594560 z^3 -
13342120 z^4 - 37078260 z^5 - 20069169 z^6 - 1677774 z^7) -
(693 (792 z^(7/2) + 6556 z^(9/2) + 10095 z^(11/2) + 3384 z^(13/2) +
168 z^(15/2)) ArcSin[Sqrt[z]])/(64 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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