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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=1, a3>=1
For fixed z and a1=-5/2, a2=1, a3=5/2
For fixed z and a1=-5/2, a2=1, a3=5/2, b1=4
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http://functions.wolfram.com/07.27.03.abd1.01
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HypergeometricPFQ[{-(5/2), 1, 5/2}, {4, 4}, z] ==
(4 (-64 - 176 z + 99 z^2))/(231 z^3) +
(512 (9973 + 9129 z - 5977 z^2 + 3043 z^3 - 936 z^4 + 128 z^5)
EllipticE[z])/(800415 Pi z^3) -
(2048 (1627 - 1130 z - 788 z^2 + 394 z^3 - 119 z^4 + 16 z^5) EllipticK[z])/
(800415 Pi z^3)
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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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