Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1387)

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=-11/2, a₂>=-11/2

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

For fixed z and a₁=-11/2, a₂=2, b₁=3

http://functions.wolfram.com/07.25.03.1387.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {3, 7/2}, -z] == 2/(13 z^2) + (1/(134184960 z^2)) ((-14562765 + 15842610 z + 71430660 z^2 + 48359160 z^3 + 12727440 z^4 + 1531488 z^5 + 83648 z^6 + 1664 z^7)/E^z) + (1/(268369920 z^(5/2))) (Sqrt[Pi] (-6081075 - 32432400 z + 75675600 z^2 + 181621440 z^3 + 108108000 z^4 + 26906880 z^5 + 3144960 z^6 + 168960 z^7 + 3328 z^8) Erf[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]