Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0517)

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=-3/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-7/2

http://functions.wolfram.com/07.25.03.0517.01

Input Form

HypergeometricPFQ[{-(11/2), -(3/2)}, {-(7/2), 7/2}, z] == (1/(12042240 z^2)) (E^z (-467775 - 1351350 z + 6040860 z^2 - 1932360 z^3 + 3504 z^4 + 2528 z^5 + 5440 z^6 - 384 z^7)) + (1/(24084480 z^(5/2))) (Sqrt[Pi] (467775 + 1663200 z + 6985440 z^2 - 13970880 z^3 + 3880800 z^4 - 11264 z^7 + 768 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]