Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2246)

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=-7/2

http://functions.wolfram.com/07.25.03.2246.01

Input Form

HypergeometricPFQ[{-(11/2), 9/2}, {-(7/2), 6}, z] == (1/(10693908225 z^3)) (32 E^(z/2) (9097288200 - 3143915775 z + 570810240 z^2 + 344615040 z^3 + 149022720 z^4 + 74403840 z^5 + 55050240 z^6 + 109314048 z^7 - 180355072 z^8 + 25165824 z^9) BesselI[0, z/2]) - (1/(10693908225 z^4)) (32 E^(z/2) (36389152800 - 12575663100 z + 3420401985 z^2 - 351267840 z^3 - 251475840 z^4 - 106874880 z^5 - 49459200 z^6 - 30670848 z^7 - 33292288 z^8 - 155189248 z^9 + 25165824 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]
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HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]
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