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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=-7/2, a3>=-7/2
For fixed z and a1=-7/2, a2=-7/2, a3=4
For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=-5/2
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http://functions.wolfram.com/07.27.03.2188.01
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HypergeometricPFQ[{-(7/2), -(7/2), 4}, {-(5/2), 1/2}, z] ==
(46080 - 1549086 z + 9156875 z^2 - 30983925 z^3)/46080 -
(1715 (-10 Sqrt[z] + 135 z^(3/2) - 594 z^(5/2) + 469 z^(7/2))
Log[1 - Sqrt[z]])/6144 +
(1715 (-10 Sqrt[z] + 135 z^(3/2) - 594 z^(5/2) + 469 z^(7/2))
Log[1 + Sqrt[z]])/6144 + (105105/512) z^(7/2) PolyLog[2, -Sqrt[z]] -
(105105/512) z^(7/2) PolyLog[2, Sqrt[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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