Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1297)

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=2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.1297.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {-(5/2), 4}, -z] == (126 (-22 + 17 z))/(1105 z^3) - (1/(16575 z^3)) ((2 (-20790 - 4725 z + 5670 z^2 - 3720 z^3 + 2640 z^4 - 2736 z^5 + 7840 z^6 + 2888 z^7 + 208 z^8))/E^z) - (8 Sqrt[Pi] (2295 z^(7/2) + 748 z^(9/2) + 52 z^(11/2)) Erf[Sqrt[z]])/16575

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]