Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2941)

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=6, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=6, b₁=7/2

http://functions.wolfram.com/07.25.03.2941.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {7/2, 4}, z] == (1/(220200960 z^2)) (E^z (-467775 - 5509350 z + 150609900 z^2 - 230825640 z^3 + 111039792 z^4 - 21748256 z^5 + 1793600 z^6 - 51072 z^7)) + (1/(440401920 z^(5/2))) (Sqrt[Pi] (467775 + 5821200 z + 73347120 z^2 - 461039040 z^3 + 554954400 z^4 - 242161920 z^5 + 45239040 z^6 - 3638272 z^7 + 102144 z^8) 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]