Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0499)

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=-3/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-9/2

http://functions.wolfram.com/07.25.03.0499.01

Input Form

HypergeometricPFQ[{-(11/2), -(3/2)}, {-(9/2), 6}, z] == -((1/(96245174025 z^3)) (32 E^(z/2) (-402910200 - 522192825 z - 442515150 z^2 - 3365526780 z^3 + 2009478240 z^4 - 235040400 z^5 - 3360 z^6 - 1920 z^7 - 3072 z^8 + 4096 z^9) BesselI[0, z/2])) + (1/(96245174025 z^4)) (32 E^(z/2) (-1611640800 - 2088771300 z - 1820424375 z^2 - 1496734470 z^3 - 1708231140 z^4 + 1774513440 z^5 - 235023600 z^6 + 2400 z^7 + 1152 z^8 + 1024 z^9 + 4096 z^10) 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]