Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4884)

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=4, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=4, b₁=1

http://functions.wolfram.com/07.25.03.4884.01

Input Form

HypergeometricPFQ[{-(9/2), 4}, {1, 11/2}, z] == (1/(50331648 z^4)) (E^z (3472875 - 1039500 z - 332640 z^2 + 982800 z^3 + 40235424 z^4 - 75133248 z^5 + 31443456 z^6 - 4356352 z^7 + 183040 z^8)) + (1/(100663296 z^(9/2))) (Sqrt[Pi] (-3472875 - 1275750 z + 408240 z^2 - 635040 z^3 + 9525600 z^4 - 133358400 z^5 + 177811200 z^6 - 67060224 z^7 + 8895744 z^8 - 366080 z^9) Erfi[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]