Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0226)

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=-9/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-9/2, b₁=-11/2

http://functions.wolfram.com/07.25.03.0226.01

Input Form

HypergeometricPFQ[{-(11/2), -(9/2)}, {-(11/2), 7/2}, -z] == (-2835 + 11340 z + 100716 z^2 + 79008 z^3 + 20208 z^4 + 1984 z^5 + 64 z^6)/ (E^z (172032 z^2)) + (1/(344064 z^(5/2))) (Sqrt[Pi] (2835 - 13230 z + 79380 z^2 + 264600 z^3 + 176400 z^4 + 42336 z^5 + 4032 z^6 + 128 z^7) Erf[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]