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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=4, a3>=4
For fixed z and a1=5/2, a2=4, a3=4
For fixed z and a1=5/2, a2=4, a3=4, b1=-5/2
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http://functions.wolfram.com/07.27.03.auny.01
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HypergeometricPFQ[{5/2, 4, 4}, {-(5/2), -(5/2)}, z] ==
(1/(11520 (-1 + z)^15)) (-11520 + 99072 z - 1537280 z^2 - 290653440 z^3 -
73993543680 z^4 - 1568387381120 z^5 - 8793234746688 z^6 -
17498956169760 z^7 - 13542126613730 z^8 - 3986270486055 z^9 -
383128445700 z^10 - 7561277724 z^11) -
(1001 (109824 z^(7/2) + 6534528 z^(9/2) + 74023872 z^(11/2) +
272074976 z^(13/2) + 387614630 z^(15/2) + 224017937 z^(17/2) +
49955334 z^(19/2) + 3579576 z^(21/2) + 48048 z^(23/2)) ArcSin[Sqrt[z]])/
(256 Sqrt[1 - z] (-1 + 15 z - 105 z^2 + 455 z^3 - 1365 z^4 + 3003 z^5 -
5005 z^6 + 6435 z^7 - 6435 z^8 + 5005 z^9 - 3003 z^10 + 1365 z^11 -
455 z^12 + 105 z^13 - 15 z^14 + z^15))
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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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