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

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=3, a₂>=3

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

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

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

Input Form

HypergeometricPFQ[{3, 11/2}, {-(7/2), -(3/2)}, -z] == (1/297675) (297675 - 935550 z + 9729720 z^2 + 162162000 z^3 + 2756754000 z^4 - 16047551520 z^5 + 22263171840 z^6 - 13026811392 z^7 + 3890384640 z^8 - 645527040 z^9 + 61347840 z^10 - 3288576 z^11 + 91648 z^12 - 1024 z^13) + (1/297675) ((256 Sqrt[Pi] (-25945920 z^(9/2) + 91990080 z^(11/2) - 107094960 z^(13/2) + 57471120 z^(15/2) - 16352280 z^(17/2) + 2635416 z^(19/2) - 245889 z^(21/2) + 13023 z^(23/2) - 360 z^(25/2) + 4 z^(27/2)) Erfi[Sqrt[z]])/E^z)

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]