Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1774)

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=3, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=3, b₁=4

http://functions.wolfram.com/07.25.03.1774.01

Input Form

HypergeometricPFQ[{-(11/2), 3}, {4, 9/2}, z] == 42/(221 z^3) + (1/(2607022080 z^3)) (E^z (-323155035 - 239682240 z - 339617880 z^2 + 1334849760 z^3 - 776994240 z^4 + 178099968 z^5 - 18933888 z^6 + 925184 z^7 - 16640 z^8)) + (1/(5214044160 z^(7/2))) (Sqrt[Pi] (-172297125 + 620269650 z + 551350800 z^2 + 1543782240 z^3 - 3308104800 z^4 + 1715313600 z^5 - 374250240 z^6 + 38776320 z^7 - 1867008 z^8 + 33280 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]