Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0836)

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=1/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1/2, b₁=-3/2

http://functions.wolfram.com/07.25.03.0836.01

Input Form

HypergeometricPFQ[{-(11/2), 1/2}, {-(3/2), 11/2}, z] == (1/(4718592 z^4)) (E^z (-3274425 - 4054050 z - 3451140 z^2 - 2910600 z^3 + 348336 z^4 + 332256 z^5 + 916800 z^6 - 326016 z^7 + 33280 z^8 - 1024 z^9)) + (1/(9437184 z^(9/2))) (Sqrt[Pi] (3274425 + 6237000 z + 6735960 z^2 + 5987520 z^3 + 6985440 z^4 - 2128896 z^7 + 684288 z^8 - 67584 z^9 + 2048 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]