Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a7vv)

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=-5/2, a₂>=-5/2

For fixed z and a₁=-5/2, a₂=4, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=4, b₁=-9/2

http://functions.wolfram.com/07.25.03.a7vv.01

Input Form

HypergeometricPFQ[{-(5/2), 4}, {-(9/2), -(7/2)}, -z] == (1/19845) (19845 + 12600 z + 5400 z^2 + 1440 z^3 - 1680 z^4 - 16128 z^5 + 27600 z^6 - 8920 z^7 + 960 z^8 - 32 z^9) + (4 Sqrt[Pi] (6630 z^(11/2) - 7905 z^(13/2) + 2346 z^(15/2) - 244 z^(17/2) + 8 z^(19/2)) Erfi[Sqrt[z]])/(E^z 19845)

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]