Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.aap3)

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=6, b₁>=-11/2

For fixed z and a₁=-3/2, a₂=6, b₁=5

http://functions.wolfram.com/07.25.03.aap3.01

Input Form

HypergeometricPFQ[{-(3/2), 6}, {5, 6}, z] == (32 E^(z/2) (9 + 12 z + 120 z^2 - 72 z^3 + 8 z^4) BesselI[0, z/2])/ (3465 z^2) - (128 E^(z/2) (9 + 12 z + 12 z^2 + 15 z^3 - 16 z^4 + 2 z^5) BesselI[1, z/2])/(3465 z^3)

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

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HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅},{b₁,b₂,b₃,b₄},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]
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