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

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=6, a₂>=6

For fixed z and a₁=6, a₂=6, b₁>=-11/2

For fixed z and a₁=6, a₂=6, b₁=-3/2

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

Input Form

HypergeometricPFQ[{6, 6}, {-(3/2), 5}, -z] == (1/14400) (14400 + 69120 z + 564480 z^2 - 1413615 z^3 + 902610 z^4 - 236040 z^5 + 28624 z^6 - 1584 z^7 + 32 z^8) + (1/28800) ((Sqrt[Pi] (-2027025 z^(5/2) + 3552120 z^(7/2) - 2016300 z^(9/2) + 499200 z^(11/2) - 58800 z^(13/2) + 3200 z^(15/2) - 64 z^(17/2)) Erfi[Sqrt[z]])/E^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]