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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=3/2, a3>=3/2
For fixed z and a1=-5/2, a2=3/2, a3=3
For fixed z and a1=-5/2, a2=3/2, a3=3, b1=5/2
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http://functions.wolfram.com/07.27.03.abzl.01
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HypergeometricPFQ[{-(5/2), 3/2, 3}, {5/2, 5/2}, z] ==
(-735 + 5867 z - 7455 z^2 + 2835 z^3)/(8192 z) +
(15 (-25 - 144 z + 540 z^2 - 560 z^3 + 189 z^4) Log[1 - Sqrt[z]])/
(16384 z^(3/2)) - (15 (-25 - 144 z + 540 z^2 - 560 z^3 + 189 z^4)
Log[1 + Sqrt[z]])/(16384 z^(3/2)) - (45 PolyLog[2, -Sqrt[z]])/
(2048 z^(3/2)) + (45 PolyLog[2, Sqrt[z]])/(2048 z^(3/2))
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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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