Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.7253)

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=-7/2, a₂>=-7/2

For fixed z and a₁=-7/2, a₂=3, b₁>=-11/2

For fixed z and a₁=-7/2, a₂=3, b₁=3/2

http://functions.wolfram.com/07.25.03.7253.01

Input Form

HypergeometricPFQ[{-(7/2), 3}, {3/2, 6}, z] == (20 (28 + 34 z + 17 z^2))/(2431 z^5) + (E^z (-6720 - 1440 z + 720 z^2 + 1120 z^3 - 960 z^4 + 17413 z^5 - 11014 z^6 + 1860 z^7 - 88 z^8))/(29172 z^5) + (Sqrt[Pi] (12155 - 44200 z + 23800 z^2 - 3808 z^3 + 176 z^4) Erfi[Sqrt[z]])/ (58344 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]