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

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=1/2, a₂>=1/2

For fixed z and a₁=1/2, a₂=6, b₁>=-11/2

For fixed z and a₁=1/2, a₂=6, b₁=-9/2

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

Input Form

HypergeometricPFQ[{1/2, 6}, {-(9/2), -(7/2)}, -z] == (1/1488375) (1488375 - 283500 z + 170100 z^2 - 302400 z^3 + 3175200 z^4 + 114307200 z^5 - 901908000 z^6 + 1408317120 z^7 - 867854880 z^8 + 264093840 z^9 - 43818540 z^10 + 4116000 z^11 - 216448 z^12 + 5888 z^13 - 64 z^14) + (1/1488375) ((2 Sqrt[Pi] (-158722200 z^(11/2) + 683726400 z^(13/2) - 875007000 z^(15/2) + 491129100 z^(17/2) - 142094925 z^(19/2) + 22887690 z^(21/2) - 2110680 z^(23/2) + 109680 z^(25/2) - 2960 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]