Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2349)

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/07.25.03.2349.01

Input Form

HypergeometricPFQ[{-(11/2), 9/2}, {3/2, 6}, z] == (1/(1527701175 z^3)) (32 E^(z/2) (-415800 + 51975 z + 62370 z^2 + 47636820 z^3 - 154455840 z^4 + 144263280 z^5 - 53790240 z^6 + 8892288 z^7 - 643072 z^8 + 16384 z^9) BesselI[0, z/2]) - (1/(1527701175 z^4)) (32 E^(z/2) (-1663200 + 207900 z + 197505 z^2 - 408870 z^3 + 2813580 z^4 - 68822880 z^5 + 102011280 z^6 - 45813408 z^7 + 8273792 z^8 - 626688 z^9 + 16384 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]