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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=-7/2, a2>=-7/2
For fixed z and a1=-7/2, a2=1, a3>=1
For fixed z and a1=-7/2, a2=1, a3=5/2
For fixed z and a1=-7/2, a2=1, a3=5/2, b1=4
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http://functions.wolfram.com/07.27.03.7122.01
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HypergeometricPFQ[{-(7/2), 1, 5/2}, {4, 4}, z] ==
(4 (-64 - 208 z + 143 z^2))/(429 z^3) - (1/(19324305 Pi z^3))
(1024 (-66557 - 75292 z + 61346 z^2 - 41596 z^3 + 19187 z^4 - 5248 z^5 +
640 z^6) EllipticE[z]) + (1/(19324305 Pi z^3))
(512 (-88069 + 51108 z + 65538 z^2 - 43692 z^3 + 19803 z^4 - 5328 z^5 +
640 z^6) EllipticK[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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