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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=-1/2, a3>=-1/2
For fixed z and a1=-7/2, a2=-1/2, a3=2
For fixed z and a1=-7/2, a2=-1/2, a3=2, b1=4
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http://functions.wolfram.com/07.27.03.5195.01
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HypergeometricPFQ[{-(7/2), -(1/2), 2}, {4, 4}, z] ==
(64 (8 + 91 z))/(15015 z^3) + (1/(676350675 Pi z^3))
(256 (-609247 - 4025067 z + 2999482 z^2 + 7723826 z^3 + 437325 z^4 -
40775 z^5 + 2520 z^6) EllipticE[z]) - (1/(676350675 Pi z^3))
(256 (-429067 - 1715941 z + 4523630 z^2 + 1042838 z^3 - 3402175 z^4 -
20545 z^5 + 1260 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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