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

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=6, b₁>=-11/2

For fixed z and a₁=11/2, a₂=6, b₁=-3/2

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

Input Form

HypergeometricPFQ[{11/2, 6}, {-(3/2), 5/2}, z] == (1/56700) (56700 - 498960 z + 6486480 z^2 + 29279250 z^3 + 32850090 z^4 + 15604785 z^5 + 3730167 z^6 + 479904 z^7 + 33360 z^8 + 1168 z^9 + 16 z^10) + (1/113400) (E^z Sqrt[Pi] z^(5/2) (28378350 + 81891810 z + 78513435 z^2 + 34533135 z^3 + 7909650 z^4 + 992040 z^5 + 67872 z^6 + 2352 z^7 + 32 z^8) Erf[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]