Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.9560)

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=2, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=2, b₁=3/2

http://functions.wolfram.com/07.25.03.9560.01

Input Form

HypergeometricPFQ[{-(5/2), 2}, {3/2, 6}, z] == -((20 (168 + 270 z + 234 z^2 + 143 z^3))/(9009 z^5)) + (8 E^z (1260 + 765 z + 360 z^2 + 120 z^3 - 480 z^4 + 1551 z^5 - 436 z^6 + 28 z^7))/(27027 z^5) - (4 Sqrt[Pi] (-2145 + 3510 z - 900 z^2 + 56 z^3) Erfi[Sqrt[z]])/(27027 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]