Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ant7)

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=6, b₁>=-11/2

For fixed z and a₁=11/2, a₂=6, b₁=-7/2

http://functions.wolfram.com/07.25.03.ant7.01

Input Form

HypergeometricPFQ[{11/2, 6}, {-(7/2), 1/2}, -z] == (1/1488375) (1488375 + 28066500 z + 170270100 z^2 + 908107200 z^3 + 9924314400 z^4 - 41902660800 z^5 + 49521326400 z^6 - 26899750080 z^7 + 7945179840 z^8 - 1380372420 z^9 + 146095740 z^10 - 9451200 z^11 + 362048 z^12 - 7488 z^13 + 64 z^14) - (1/1488375) ((2 Sqrt[Pi] (10475665200 z^(9/2) - 29522329200 z^(11/2) + 30108380400 z^(13/2) - 15164074800 z^(15/2) + 4286307375 z^(17/2) - 724557015 z^(19/2) + 75324690 z^(21/2) - 4814280 z^(23/2) + 182880 z^(25/2) - 3760 z^(27/2) + 32 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]