Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.5694)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=6, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=6, b₁=3/2

http://functions.wolfram.com/07.25.03.5694.01

Input Form

HypergeometricPFQ[{-(9/2), 6}, {3/2, 4}, -z] == (247665 + 714360 z + 449376 z^2 + 89216 z^3 + 5168 z^4)/(E^z 307200) + (Sqrt[Pi] (59535 + 935550 z + 1801800 z^2 + 982800 z^3 + 183600 z^4 + 10336 z^5) Erf[Sqrt[z]])/(614400 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]