Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4930)

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=4, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=4, b₁=7/2

http://functions.wolfram.com/07.25.03.4930.01

Input Form

HypergeometricPFQ[{-(9/2), 4}, {7/2, 5}, z] == -(24/(2431 z^4)) + (1/(261381120 z^4)) (E^z (2580480 - 2580480 z - 10196235 z^2 - 24934560 z^3 + 142029300 z^4 - 88704384 z^5 + 19009584 z^6 - 1610752 z^7 + 45760 z^8)) + (1/(522762240 z^(5/2))) (Sqrt[Pi] (11486475 + 32162130 z + 137837700 z^2 - 357357000 z^3 + 194922000 z^4 - 39584160 z^5 + 3267264 z^6 - 91520 z^7) 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]