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

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, a₂>=3

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

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

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

Input Form

HypergeometricPFQ[{3, 11/2}, {-(11/2), 5/2}, -z] == (1/3274425) (3274425 + 3929310 z + 3243240 z^2 + 2574000 z^3 + 2386800 z^4 + 3255840 z^5 + 12155136 z^6 - 9974016 z^7 + 2565120 z^8 - 285824 z^9 + 14208 z^10 - 256 z^11) + (64 Sqrt[Pi] z^(13/2) (-252450 + 173910 z - 42207 z^2 + 4575 z^3 - 224 z^4 + 4 z^5) Erfi[Sqrt[z]])/(E^z 3274425)

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]