Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.aht4)

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=2, a₂>=2

For fixed z and a₁=2, a₂=7/2, b₁>=-11/2

For fixed z and a₁=2, a₂=7/2, b₁=-11/2

http://functions.wolfram.com/07.25.03.aht4.01

Input Form

HypergeometricPFQ[{2, 7/2}, {-(11/2), 9/2}, -z] == (1/(1485 z^3)) (58060800 + 19353600 z + 5806080 z^2 + 1383885 z^3 + 269220 z^4 + 44100 z^5 + 6240 z^6 + 784 z^7 + 96 z^8 + 32 z^9) - (1/(1485 z^(7/2))) ((16 Sqrt[Pi] (1814400 + 1814400 z + 907200 z^2 + 302400 z^3 + 75600 z^4 + 15120 z^5 + 2520 z^6 + 360 z^7 + 45 z^8 + 5 z^9 + 2 z^10) 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]