Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.an4a)

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=-3/2

http://functions.wolfram.com/07.25.03.an4a.01

Input Form

HypergeometricPFQ[{9/2, 6}, {-(3/2), 11/2}, -z] == (1/(320 z^4)) (-75600 - 25200 z - 7560 z^2 - 1800 z^3 - 30 z^4 + 990 z^5 + 6195 z^6 - 9368 z^7 + 3360 z^8 - 416 z^9 + 16 z^10) + (1/(640 z^(9/2))) ((Sqrt[Pi] (75600 + 75600 z + 37800 z^2 + 12600 z^3 + 3150 z^4 + 630 z^5 + 105 z^6 - 19290 z^7 + 21720 z^8 - 7120 z^9 + 848 z^10 - 32 z^11) 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]