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

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=7/2, b₁>=-11/2

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

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

Input Form

HypergeometricPFQ[{3/2, 7/2}, {-(11/2), 2}, z] == (1/155925) (E^(z/2) (155925 - 51030 z + 21240 z^2 - 14400 z^3 + 10800 z^4 - 10080 z^5 + 22848 z^6 + 42240 z^7 + 9472 z^8 + 512 z^9) BesselI[0, z/2]) + (1/155925) (E^(z/2) (-405405 + 226890 z - 86040 z^2 + 28800 z^3 - 10800 z^4 + 6048 z^5 - 6720 z^6 + 33536 z^7 + 8960 z^8 + 512 z^9) BesselI[1, z/2])

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]