Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.an1i)

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=-11/2

http://functions.wolfram.com/07.25.03.an1i.01

Input Form

HypergeometricPFQ[{9/2, 6}, {-(11/2), 11/2}, -z] == (1/(69300 z^4)) (-381024000 - 127008000 z - 38102400 z^2 - 9072000 z^3 - 1694700 z^4 - 226800 z^5 + 21840 z^7 + 20790 z^8 + 25410 z^9 + 84475 z^10 - 51720 z^11 + 9472 z^12 - 672 z^13 + 16 z^14) + (1/(138600 z^(9/2))) ((Sqrt[Pi] (381024000 + 381024000 z + 190512000 z^2 + 63504000 z^3 + 15876000 z^4 + 3175200 z^5 + 529200 z^6 + 75600 z^7 + 9450 z^8 + 1050 z^9 + 105 z^10 - 212730 z^11 + 112280 z^12 - 19600 z^13 + 1360 z^14 - 32 z^15) Erfi[Sqrt[z]])/E^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]