Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2498)

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=5, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=5, b₁=1

http://functions.wolfram.com/07.25.03.2498.01

Input Form

HypergeometricPFQ[{-(11/2), 5}, {1, 11/2}, z] == (1/(1610612736 z^4)) (E^z (-7640325 + 8212050 z - 7484400 z^2 + 13638240 z^3 + 1358204448 z^4 - 4216696128 z^5 + 2876899584 z^6 - 701282816 z^7 + 67382016 z^8 - 2149888 z^9)) + (1/(3221225472 z^(9/2))) (Sqrt[Pi] (7640325 - 3118500 z + 3367980 z^2 - 9979200 z^3 + 244490400 z^4 - 5280992640 z^5 + 10757577600 z^6 - 6393074688 z^7 + 1467797760 z^8 - 136913920 z^9 + 4299776 z^10) 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]