Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.9207)

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=-5/2, a₂>=-5/2

For fixed z and a₁=-5/2, a₂=1, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=1, b₁=3

http://functions.wolfram.com/07.25.03.9207.01

Input Form

HypergeometricPFQ[{-(5/2), 1}, {3, 11/2}, z] == (2 (-7 + 9 z))/(7 z^2) + (E^z (-2835 - 11340 z + 100716 z^2 - 79008 z^3 + 20208 z^4 - 1984 z^5 + 64 z^6))/(86016 z^4) + (1/(172032 z^(9/2))) (Sqrt[Pi] (2835 + 13230 z + 79380 z^2 - 264600 z^3 + 176400 z^4 - 42336 z^5 + 4032 z^6 - 128 z^7) 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]