Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2895)

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=6, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=6, b₁=1

http://functions.wolfram.com/07.25.03.2895.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {1, 9/2}, -z] == (1/(1207959552 z^3)) ((-155925 - 665280 z - 3908520 z^2 + 1058775264 z^3 + 5126646720 z^4 + 4894406400 z^5 + 1571596416 z^6 + 191340032 z^7 + 7524608 z^8)/E^z) + (1/(2415919104 z^(7/2))) (Sqrt[Pi] (155925 + 561330 z + 3492720 z^2 + 146694240 z^3 + 4840909920 z^4 + 13984850880 z^5 + 11187880704 z^6 + 3327008256 z^7 + 390204672 z^8 + 15049216 z^9) 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]