Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.6527)

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=-7/2, a₂>=-7/2

For fixed z and a₁=-7/2, a₂=1, b₁>=-11/2

For fixed z and a₁=-7/2, a₂=1, b₁=7/2

http://functions.wolfram.com/07.25.03.6527.01

Input Form

HypergeometricPFQ[{-(7/2), 1}, {7/2, 6}, z] == (5 (72 + 408 z + 3060 z^2 - 13260 z^3 + 12155 z^4))/(21879 z^5) + (1/(1050192 z^5)) (E^z (-17280 - 80640 z - 645120 z^2 + 1573425 z^3 - 981450 z^4 + 251064 z^5 - 29808 z^6 + 1616 z^7 - 32 z^8)) + (1/(2100384 z^(5/2))) (Sqrt[Pi] (2297295 - 3938220 z + 2187900 z^2 - 530400 z^3 + 61200 z^4 - 3264 z^5 + 64 z^6) 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]