Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2918)

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=2

http://functions.wolfram.com/07.25.03.2918.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {2, 9/2}, -z] == (1/(603979776 z^3)) ((31185 + 207900 z + 3625776 z^2 + 459666288 z^3 + 1108085664 z^4 + 718934592 z^5 + 176399616 z^6 + 17447168 z^7 + 578816 z^8)/E^z) + (1/(1207959552 z^(7/2))) (Sqrt[Pi] (-31185 - 187110 z - 3492720 z^2 + 146694240 z^3 + 1613636640 z^4 + 2796970176 z^5 + 1598268672 z^6 + 369667584 z^7 + 35473152 z^8 + 1157632 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]