Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a9w0)

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=-3/2, a₂>=-3/2

For fixed z and a₁=-3/2, a₂=4, b₁>=-11/2

For fixed z and a₁=-3/2, a₂=4, b₁=-11/2

http://functions.wolfram.com/07.25.03.a9w0.01

Input Form

HypergeometricPFQ[{-(3/2), 4}, {-(11/2), -(5/2)}, -z] == (1/155925) (155925 + 68040 z + 12600 z^2 - 7200 z^3 - 15120 z^4 - 26880 z^5 - 112896 z^6 + 104640 z^7 - 25360 z^8 + 2240 z^9 - 64 z^10) + (8 Sqrt[Pi] (19380 z^(13/2) - 14535 z^(15/2) + 3306 z^(17/2) - 284 z^(19/2) + 8 z^(21/2)) Erfi[Sqrt[z]])/(E^z 155925)

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]