Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.acg7)

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=-11/2

http://functions.wolfram.com/07.25.03.acg7.01

Input Form

HypergeometricPFQ[{-(1/2), 6}, {-(11/2), -(3/2)}, -z] == (1/467775) (467775 + 170100 z - 132300 z^2 - 302400 z^3 - 453600 z^4 - 846720 z^5 - 3991680 z^6 + 5026365 z^7 - 1914555 z^8 + 325080 z^9 - 27072 z^10 + 1072 z^11 - 16 z^12) + (1/935550) ((Sqrt[Pi] (11700675 z^(13/2) - 11700675 z^(15/2) + 4129650 z^(17/2) - 676200 z^(19/2) + 55200 z^(21/2) - 2160 z^(23/2) + 32 z^(25/2)) 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]