Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a878)

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=5, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=5, b₁=-9/2

http://functions.wolfram.com/07.25.03.a878.01

Input Form

HypergeometricPFQ[{-(5/2), 5}, {-(9/2), -(5/2)}, -z] == (1/5670) (5670 + 6300 z + 5400 z^2 + 5040 z^3 + 6720 z^4 + 24192 z^5 - 17655 z^6 + 3730 z^7 - 300 z^8 + 8 z^9) + (Sqrt[Pi] (-62985 z^(11/2) + 38760 z^(13/2) - 7752 z^(15/2) + 608 z^(17/2) - 16 z^(19/2)) Erfi[Sqrt[z]])/(E^z 11340)

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]