Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2138)

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=4, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=4, b₁=5/2

http://functions.wolfram.com/07.25.03.2138.01

Input Form

HypergeometricPFQ[{-(11/2), 4}, {5/2, 6}, z] == (24 (20 + 21 z))/(29393 z^5) + (1/(2370251520 z^5)) (E^z (-38707200 - 1935360 z + 21288960 z^2 - 13870080 z^3 - 125784855 z^4 + 1437710400 z^5 - 1313582172 z^6 + 412357632 z^7 - 55884816 z^8 + 3328000 z^9 - 70720 z^10)) + (1/(4740503040 z^(3/2))) (Sqrt[Pi] (130945815 + 1018467450 z - 3888693900 z^2 + 2991303000 z^3 - 877448880 z^4 + 115026912 z^5 - 6726720 z^6 + 141440 z^7) 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]