Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2518)

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=2

http://functions.wolfram.com/07.25.03.2518.01

Input Form

HypergeometricPFQ[{-(11/2), 5}, {2, 9/2}, z] == (1/(905969664 z^3)) (E^z (-155925 + 665280 z - 7900200 z^2 + 666630432 z^3 - 1312844352 z^4 + 727316736 z^5 - 156397440 z^6 + 13795840 z^7 - 413440 z^8)) + (1/(1811939328 z^(7/2))) (Sqrt[Pi] (155925 - 561330 z + 7484400 z^2 + 244490400 z^3 - 2200413600 z^4 + 3227273280 z^5 - 1598268672 z^6 + 326177280 z^7 - 28005120 z^8 + 826880 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]