Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.3044)

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=-7/2, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=-7/2, b₁=-11/2

http://functions.wolfram.com/07.25.03.3044.01

Input Form

HypergeometricPFQ[{-(9/2), -(7/2)}, {-(11/2), 11/2}, z] == -((1/(1441792 z^4)) (3 E^z (55125 + 76650 z + 80220 z^2 + 96600 z^3 - 207632 z^4 + 60128 z^5 - 5312 z^6 + 128 z^7))) + (1/(2883584 z^(9/2))) (3 Sqrt[Pi] (55125 + 113400 z + 141120 z^2 + 164640 z^3 + 352800 z^4 - 470400 z^5 + 125440 z^6 - 10752 z^7 + 256 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]