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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=1
For fixed z and a1=-7/2, a2=1/2, a3=1, b1=3
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http://functions.wolfram.com/07.27.03.5894.01
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HypergeometricPFQ[{-(7/2), 1/2, 1}, {3, 3}, z] ==
-((16 (4 + 33 z))/(297 z^2)) -
(1024 (-1391 - 6626 z - 1182 z^2 + 292 z^3 - 59 z^4 + 6 z^5) EllipticE[z])/
(1029105 Pi z^2) + (128 (-7663 - 19724 z + 26406 z^2 + 1196 z^3 -
239 z^4 + 24 z^5) EllipticK[z])/(1029105 Pi z^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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