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

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=3, a₂>=3

For fixed z and a₁=3, a₂=6, b₁>=-11/2

For fixed z and a₁=3, a₂=6, b₁=-5/2

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

Input Form

HypergeometricPFQ[{3, 6}, {-(5/2), 1}, -z] == (1/28800) (28800 + 207360 z + 967680 z^2 + 8601600 z^3 - 25570485 z^4 + 20134860 z^5 - 6786028 z^6 + 1131936 z^7 - 96880 z^8 + 4032 z^9 - 64 z^10) + (1/57600) ((Sqrt[Pi] (-32490315 z^(7/2) + 66585090 z^(9/2) - 46131540 z^(11/2) + 14616600 z^(13/2) - 2356880 z^(15/2) + 197728 z^(17/2) - 8128 z^(19/2) + 128 z^(21/2)) 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]