Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1734)

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=3/2

http://functions.wolfram.com/07.25.03.1734.01

Input Form

HypergeometricPFQ[{-(11/2), 3}, {3/2, 6}, z] == (12 (20 + 30 z + 19 z^2))/(4199 z^5) + (1/(42325920 z^5)) (E^z (-2419200 - 1209600 z + 120960 z^2 + 887040 z^3 - 645120 z^4 + 28028385 z^5 - 30931530 z^6 + 10673592 z^7 - 1533552 z^8 + 95056 z^9 - 2080 z^10)) + (1/(84651840 Sqrt[z])) (Sqrt[Pi] (14549535 - 79361100 z + 71221500 z^2 - 22790880 z^3 + 3160080 z^4 - 192192 z^5 + 4160 z^6) 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]