Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1780)

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=-11/2, a₂>=-11/2

For fixed z and a₁=-11/2, a₂=3, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=3, b₁=9/2

http://functions.wolfram.com/07.25.03.1780.01

Input Form

HypergeometricPFQ[{-(11/2), 3}, {9/2, 5}, z] == (168 (-3 + 19 z))/(4199 z^4) + (1/(6191677440 z^4)) (E^z (743178240 - 2176328385 z - 1032420060 z^2 - 1080505440 z^3 + 2916611280 z^4 - 1361233632 z^5 + 261962688 z^6 - 24049152 z^7 + 1035008 z^8 - 16640 z^9)) + (1/(12383354880 z^(7/2))) (Sqrt[Pi] (-3273645375 + 3928374450 z + 2095133040 z^2 + 4190266080 z^3 - 6983776800 z^4 + 2962814400 z^5 - 546981120 z^6 + 49116672 z^7 - 2086656 z^8 + 33280 z^9) 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]