Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.7649)

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=3/2

http://functions.wolfram.com/07.25.03.7649.01

Input Form

HypergeometricPFQ[{-(7/2), 4}, {3/2, 6}, z] == -((40 (28 + 17 z))/(7293 z^5)) + (1/(175032 z^5)) (E^z (26880 - 10560 z - 2880 z^2 + 3680 z^3 - 1600 z^4 + 114713 z^5 - 97486 z^6 + 20372 z^7 - 1144 z^8)) + (Sqrt[Pi] (60775 - 309400 z + 214200 z^2 - 41888 z^3 + 2288 z^4) Erfi[Sqrt[z]])/(350064 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]