Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4893)

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=3/2

http://functions.wolfram.com/07.25.03.4893.01

Input Form

HypergeometricPFQ[{-(9/2), 4}, {3/2, 5}, z] == -(24/(2431 z^4)) + (1/(1166880 z^4)) (E^z (11520 - 11520 z + 5760 z^2 - 1920 z^3 + 839175 z^4 - 1196148 z^5 + 443784 z^6 - 57200 z^7 + 2288 z^8)) + (1/(2333760 Sqrt[z])) (Sqrt[Pi] (328185 - 2552550 z + 2784600 z^2 - 942480 z^3 + 116688 z^4 - 4576 z^5) 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]