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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=5/2, a2>=5/2
For fixed z and a1=5/2, a2=4, a3>=4
For fixed z and a1=5/2, a2=4, a3=4
For fixed z and a1=5/2, a2=4, a3=4, b1=-5/2
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http://functions.wolfram.com/07.27.03.auo8.01
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HypergeometricPFQ[{5/2, 4, 4}, {-(5/2), 3/2}, -z] ==
(1/(2304 (1 + z)^11)) (2304 + 49920 z + 683776 z^2 + 13733120 z^3 -
108374750 z^4 + 139601821 z^5 - 42252796 z^6 + 2213908 z^7) -
(5005 z^(7/2) (858 - 3003 z + 2418 z^2 - 488 z^3 + 16 z^4)
ArcSinh[Sqrt[z]])/(256 Sqrt[1 + z] (1 + 11 z + 55 z^2 + 165 z^3 +
330 z^4 + 462 z^5 + 462 z^6 + 330 z^7 + 165 z^8 + 55 z^9 + 11 z^10 +
z^11))
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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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