Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2346)

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=9/2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.2346.01

Input Form

HypergeometricPFQ[{-(11/2), 9/2}, {3/2, 5}, z] == (1/(1091215125 z^2)) (32 E^(z/2) (-22275 + 25245 z + 34059960 z^2 - 129189060 z^3 + 138146640 z^4 - 58456560 z^5 + 10863168 z^6 - 874496 z^7 + 24576 z^8) BesselI[0, z/2]) - (1/(1091215125 z^3)) (32 E^(z/2) (-89100 + 100980 z - 164835 z^2 + 1574100 z^3 - 52360860 z^4 + 93554880 z^5 - 48831408 z^6 + 10025536 z^7 - 849920 z^8 + 24576 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]