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

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=3/2, a₂>=3/2

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

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

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

Input Form

HypergeometricPFQ[{3/2, 3}, {-(11/2), -(9/2)}, -z] == (1/9823275) (9823275 - 1786050 z + 567000 z^2 - 378000 z^3 + 680400 z^4 - 6985440 z^5 - 242161920 z^6 + 1797465600 z^7 - 2592334080 z^8 + 1441850880 z^9 - 384178176 z^10 + 53471232 z^11 - 3942400 z^12 + 144384 z^13 - 2048 z^14) + (1/9823275) ((512 Sqrt[Pi] (1285200 z^(13/2) - 5226480 z^(15/2) + 6196680 z^(17/2) - 3147480 z^(19/2) + 799050 z^(21/2) - 108150 z^(23/2) + 7839 z^(25/2) - 284 z^(27/2) + 4 z^(29/2)) 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]