Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.7623)

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=4, b₁>=-11/2

For fixed z and a₁=-7/2, a₂=4, b₁=1/2

http://functions.wolfram.com/07.25.03.7623.01

Input Form

HypergeometricPFQ[{-(7/2), 4}, {1/2, 6}, z] == (280 (36 + 17 z))/(7293 z^5) - (1/(21879 z^5)) (2 E^z (15120 - 7980 z + 420 z^2 + 1050 z^3 - 560 z^4 - 10768 z^5 + 23277 z^6 - 7568 z^7 + 572 z^8)) + (Sqrt[Pi] (-38675 Sqrt[z] + 53550 z^(3/2) - 15708 z^(5/2) + 1144 z^(7/2)) Erfi[Sqrt[z]])/21879

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]