Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1348)

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=2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=2, b₁=1

http://functions.wolfram.com/07.25.03.1348.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {1, 9/2}, z] == (1/(28311552 z^3)) (E^z (779625 + 1164240 z + 582120 z^2 + 20717856 z^3 - 29707584 z^4 + 12111360 z^5 - 1985664 z^6 + 137728 z^7 - 3328 z^8)) + (1/(56623104 z^(7/2))) (Sqrt[Pi] (-779625 - 1683990 z - 1496880 z^2 + 6985440 z^3 - 62868960 z^4 + 69854400 z^5 - 26078976 z^6 + 4105728 z^7 - 278784 z^8 + 6656 z^9) 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]