Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.5590)

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=6, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=6, b₁=-9/2

http://functions.wolfram.com/07.25.03.5590.01

Input Form

HypergeometricPFQ[{-(9/2), 6}, {-(9/2), -(5/2)}, -z] == (3600 + 8640 z + 20160 z^2 + 107520 z^3 - 155655 z^4 + 61680 z^5 - 9872 z^6 + 672 z^7 - 16 z^8)/3600 + (1/7200) ((Sqrt[Pi] (-328185 z^(7/2) + 364650 z^(9/2) - 132600 z^(11/2) + 20400 z^(13/2) - 1360 z^(15/2) + 32 z^(17/2)) Erfi[Sqrt[z]])/E^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]