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

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=7/2, a₂>=7/2

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

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

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

Input Form

HypergeometricPFQ[{7/2, 7/2}, {-(11/2), 6}, z] == (1/(155925 z^3)) (32 E^(z/2) (36664828200 - 16368226875 z + 4755400650 z^2 - 1034094600 z^3 + 180351360 z^4 - 26266320 z^5 + 3280800 z^6 - 358080 z^7 + 34560 z^8 - 2816 z^9 + 512 z^10) BesselI[0, z/2]) + (1/(155925 z^4)) (32 E^(z/2) (-146659312800 + 65472907500 z - 23604706125 z^2 + 6182426250 z^3 - 1268106840 z^4 + 213022080 z^5 - 30223920 z^6 + 3703200 z^7 - 398400 z^8 + 38144 z^9 - 3328 z^10 + 512 z^11) 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]