Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a811)

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=-5/2, a₂>=-5/2

For fixed z and a₁=-5/2, a₂=4, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=4, b₁=5

http://functions.wolfram.com/07.25.03.a811.01

Input Form

HypergeometricPFQ[{-(5/2), 4}, {5, 11/2}, z] == 360/(143 z^4) + (3 E^z (-266295 - 109080 z - 65580 z^2 - 55360 z^3 + 73328 z^4 - 14208 z^5 + 704 z^6))/(585728 z^4) - (1/(1171456 z^(9/2))) (3 Sqrt[Pi] (225225 - 450450 z - 180180 z^2 - 120120 z^3 - 171600 z^4 + 160160 z^5 - 29120 z^6 + 1408 z^7) 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]