Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4466)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=3, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=3, b₁=-1/2

http://functions.wolfram.com/07.25.03.4466.01

Input Form

HypergeometricPFQ[{-(9/2), 3}, {-(1/2), 5}, -z] == (168 (-27 + 17 z))/(2431 z^4) - (1/(36465 z^4)) ((4 (-17010 - 6300 z + 2205 z^2 + 2520 z^3 - 8040 z^4 + 40416 z^5 + 43575 z^6 + 9812 z^7 + 572 z^8))/E^z) - (2 Sqrt[Pi] (116025 z^(3/2) + 96390 z^(5/2) + 20196 z^(7/2) + 1144 z^(9/2)) Erf[Sqrt[z]])/36465

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]