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

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=6, b₁>=-11/2

For fixed z and a₁=7/2, a₂=6, b₁=-7/2

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

Input Form

HypergeometricPFQ[{7/2, 6}, {-(7/2), 9/2}, -z] == (1/(3600 z^3)) (226800 + 75600 z + 22680 z^2 + 9000 z^3 + 5850 z^4 + 5670 z^5 + 8295 z^6 + 32259 z^7 - 27240 z^8 + 6400 z^9 - 560 z^10 + 16 z^11) + (1/(7200 z^(7/2))) ((Sqrt[Pi] (-226800 - 226800 z - 113400 z^2 - 37800 z^3 - 9450 z^4 - 1890 z^5 - 315 z^6 - 45 z^7 - 86610 z^8 + 60360 z^9 - 13344 z^10 + 1136 z^11 - 32 z^12) Erfi[Sqrt[z]])/E^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]
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