Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1390)

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/07.25.03.1390.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {3, 9/2}, -z] == 14/(39 z^2) + (1/(690094080 z^3)) ((-10135125 - 145023480 z + 114435720 z^2 + 335188800 z^3 + 177112320 z^4 + 38474880 z^5 + 3950976 z^6 + 188416 z^7 + 3328 z^8)/E^z) + (1/(1380188160 z^(7/2))) (Sqrt[Pi] (10135125 - 109459350 z - 291891600 z^2 + 454053600 z^3 + 817296480 z^4 + 389188800 z^5 + 80720640 z^6 + 8087040 z^7 + 380160 z^8 + 6656 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]