Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4155)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=2, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=2, b₁=3

http://functions.wolfram.com/07.25.03.4155.01

Input Form

HypergeometricPFQ[{-(9/2), 2}, {3, 11/2}, z] == 126/(143 z^2) + (1/(112459776 z^4)) (E^z (2837835 + 10270260 z - 48063456 z^2 - 27612144 z^3 + 47333280 z^4 - 16239936 z^5 + 2241024 z^6 - 133376 z^7 + 2816 z^8)) + (1/(224919552 z^(9/2))) (Sqrt[Pi] (-2837835 - 12162150 z - 58378320 z^2 + 90810720 z^3 + 90810720 z^4 - 108972864 z^5 + 34594560 z^6 - 4612608 z^7 + 269568 z^8 - 5632 z^9) 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]