Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1395)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=-11/2, a₂>=-11/2

For fixed z and a₁=-11/2, a₂=2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=2, b₁=7/2

http://functions.wolfram.com/07.25.03.1395.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {7/2, 4}, z] == (6 (-2 + 17 z))/(221 z^3) + (1/(380190720 z^3)) (E^z (20643840 - 92738205 z - 66907890 z^2 + 181806660 z^3 - 93079800 z^4 + 19832208 z^5 - 2009696 z^6 + 94912 z^7 - 1664 z^8)) + (1/(760381440 z^(5/2))) (Sqrt[Pi] (-103378275 + 183783600 z + 257297040 z^2 - 441080640 z^3 + 204204000 z^4 - 41583360 z^5 + 4112640 z^6 - 191488 z^7 + 3328 z^8) Erfi[Sqrt[z]])

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02

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,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃},{b₁,b₂},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,...,a_p},{b₁,...,b_q},z]