Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2079)

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=-11/2, a₂>=-11/2

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

For fixed z and a₁=-11/2, a₂=4, b₁=-1/2

http://functions.wolfram.com/07.25.03.2079.01

Input Form

HypergeometricPFQ[{-(11/2), 4}, {-(1/2), 6}, z] == (360 (44 + 21 z))/(4199 z^5) + (1/(529074 z^5)) (E^z (-1995840 + 1043280 z - 45360 z^2 - 143640 z^3 + 75600 z^4 + 506016 z^5 + 3355968 z^6 - 5404071 z^7 + 1940562 z^8 - 235820 z^9 + 8840 z^10)) + (1/1058148) (Sqrt[Pi] (-10683225 z^(3/2) + 12534984 z^(5/2) - 4108104 z^(7/2) + 480480 z^(9/2) - 17680 z^(11/2)) Erfi[Sqrt[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]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]