Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ahkl)

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=2, a₂>=2

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

For fixed z and a₁=2, a₂=5/2, b₁=-9/2

http://functions.wolfram.com/07.25.03.ahkl.01

Input Form

HypergeometricPFQ[{2, 5/2}, {-(9/2), 9/2}, z] == (1612800 - 416640 z + 120960 z^2 - 26277 z^3 + 4580 z^4 - 660 z^5 + 80 z^6 - 8 z^7)/(27 z^3) - (1/(27 z^(7/2))) (4 E^z Sqrt[Pi] (201600 - 186480 z + 85680 z^2 - 26040 z^3 + 5880 z^4 - 1050 z^5 + 154 z^6 - 19 z^7 + 2 z^8) 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]