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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=-1/2, a3>=-1/2
For fixed z and a1=-1/2, a2=-1/2, a3=4
For fixed z and a1=-1/2, a2=-1/2, a3=4, b1=3/2
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http://functions.wolfram.com/07.27.03.aj7b.01
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HypergeometricPFQ[{-(1/2), -(1/2), 4}, {3/2, 5/2}, z] ==
(3 + 661 z)/(1024 z) + ((3 - 244 z + 241 z^2) Log[1 - Sqrt[z]])/
(2048 z^(3/2)) + ((-3 + 244 z - 241 z^2) Log[1 + Sqrt[z]])/
(2048 z^(3/2)) - (15 (2 + 7 z) PolyLog[2, -Sqrt[z]])/(512 Sqrt[z]) +
(15 (2 + 7 z) PolyLog[2, Sqrt[z]])/(512 Sqrt[z])
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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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