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

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=5/2, a₂>=5/2

For fixed z and a₁=5/2, a₂=6, b₁>=-11/2

For fixed z and a₁=5/2, a₂=6, b₁=-5/2

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

Input Form

HypergeometricPFQ[{5/2, 6}, {-(5/2), 3/2}, -z] == (1/5400) (5400 + 21600 z + 70560 z^2 + 483840 z^3 - 1020195 z^4 + 583245 z^5 - 140340 z^6 + 15912 z^7 - 832 z^8 + 16 z^9) - (1/10800) ((Sqrt[Pi] z^(7/2) (1640925 - 2516085 z + 1292850 z^2 - 295800 z^3 + 32640 z^4 - 1680 z^5 + 32 z^6) 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]