Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0939)

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=1, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1, b₁=-5/2

http://functions.wolfram.com/07.25.03.0939.01

Input Form

HypergeometricPFQ[{-(11/2), 1}, {-(5/2), 5}, z] == -((28 (2574 + 3762 z + 2907 z^2 + 1615 z^3))/(20995 z^4)) + (1/(314925 z^4)) (8 E^z (135135 + 62370 z + 22680 z^2 + 8400 z^3 + 3600 z^4 + 2016 z^5 + 1792 z^6 + 4608 z^7 - 1184 z^8 + 64 z^9)) - (128 Sqrt[Pi] (323 z^(7/2) - 76 z^(9/2) + 4 z^(11/2)) Erfi[Sqrt[z]])/314925

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]