Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.3717)

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=1, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=1, b₁=-1/2

http://functions.wolfram.com/07.25.03.3717.01

Input Form

HypergeometricPFQ[{-(9/2), 1}, {-(1/2), 5}, z] == -((12 (126 + 238 z + 255 z^2 + 221 z^3))/(2431 z^4)) - (8 E^z (-2835 - 2520 z - 1800 z^2 - 1440 z^3 - 1680 z^4 - 5376 z^5 + 2868 z^6 - 400 z^7 + 16 z^8))/(36465 z^4) + (16 Sqrt[Pi] (-3315 z^(3/2) + 1530 z^(5/2) - 204 z^(7/2) + 8 z^(9/2)) Erfi[Sqrt[z]])/36465

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]