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

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=2, a₂>=2

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

For fixed z and a₁=2, a₂=11/2, b₁=-9/2

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

Input Form

HypergeometricPFQ[{2, 11/2}, {-(9/2), 6}, z] == (2860 (-7752 + 306 z - 18 z^2 + z^3))/(63 z^5) - (1/(59535 z^5)) (8 E^z (-2618916300 + 2722294575 z - 1418917500 z^2 + 494594100 z^3 - 129729600 z^4 + 27306720 z^5 - 4798080 z^6 + 720000 z^7 - 92160 z^8 + 8960 z^9 + 1024 z^10 + 1024 z^11))

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]