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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=5/2
For fixed z and a1=1, a2=5/2, a3=5/2, b1=1/2
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http://functions.wolfram.com/07.27.03.aqj8.01
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HypergeometricPFQ[{1, 5/2, 5/2}, {1/2, 7/2}, -z] ==
-((5 (24 + 40 z + 11 z^2 + z^3))/(9 z^2 (1 + z)^2)) +
(40 ArcTan[Sqrt[z]])/(3 z^(5/2))
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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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