Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1966)

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=7/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=7/2, b₁=3/2

http://functions.wolfram.com/07.25.03.1966.01

Input Form

HypergeometricPFQ[{-(11/2), 7/2}, {3/2, 6}, z] == (1/(1964187225 z^3)) (32 E^(z/2) (1247400 + 779625 z - 62370 z^2 + 61122600 z^3 - 160665120 z^4 + 125321040 z^5 - 39717600 z^6 + 5679552 z^7 - 360960 z^8 + 8192 z^9) BesselI[0, z/2]) - (1/(1964187225 z^4)) (32 E^(z/2) (4989600 + 3118500 z - 93555 z^2 - 935550 z^3 + 5239080 z^4 - 80503200 z^5 + 93104400 z^6 - 34554912 z^7 + 5330880 z^8 - 352768 z^9 + 8192 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]