Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ah5y)

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=3/2, a₂>=3/2

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

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

http://functions.wolfram.com/07.25.03.ah5y.01

Input Form

HypergeometricPFQ[{3/2, 11/2}, {-(11/2), -(9/2)}, z] == -((1/9282994875) (E^z (-9282994875 + 6188663250 z - 3143448000 z^2 - 3143448000 z^4 - 53229052800 z^5 + 2635466803200 z^6 + 39786830899200 z^7 + 109053895104000 z^8 + 115144799616000 z^9 + 59965890969600 z^10 + 17370036633600 z^11 + 2982699417600 z^12 + 312702566400 z^13 + 20038287360 z^14 + 759693312 z^15 + 15532032 z^16 + 131072 z^17)))

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]